# USING EXPONENTS

## What is exponents?

Using exponents :

The exponents of a number says how many times to use the number in a multiplication.

5³ = 5 x 5 x 5

In words 5³ could be called as 5 to the power 3 or 5 cube.

## How to write repeated multiplication using exponents (or) powers?

Exponents are simply a shorthand notation for multiplying the same number by itself several times .

We can use powers for repeated multiplication. Let us look into the example to understand above stuff.

Question 1 :

Express m x m x m x m in exponential form.

Solution :

Here, m is repeating 4 times. Instead of writing m x m x m x m, we can simply write m

Question 2 :

Express 5 x 5 x 5 in exponential form.

Solution :

Here 5 is repeating 3 times. To write 5 x 5 x 5 in the exponential form we have to write it as 5³

Question 3 :

Express 7 x 7 x 5 x 5 in exponential form.

Solution :

Here, 7 is repeating 2 times and 5 is also repeating 2 times .

Hence, the answer is 7² x 5²

Let us see the next question on "Using exponents"

Question 4 :

Express 13 x b x b x b x b in exponential form

Solution :

Here, 13 is not repeating and b is repeating 4 times.

Hence, the exponential form of 13 x b x b x b x b is 13 b

Let us see the next question on "Using exponents"

Question 5 :

Express  17 x 17 x w x w x w in exponential form

Solution :

Here, 17 is repeating twice and w is repeating 3 times. Hence, the exponential form of given expression is 17² w³

Question 6 :

Express  5 x 5 x p x p x p in exponential form

Solution :

5 x 5 = 5²

p x p x p = p³

Hence, the exponential form of 5 x 5 x p x p x p = 5²x p³

Question 7 :

Express  n x n x n x b x b in exponential form

Solution :

n x n x n = n³

b x b = b²

Hence, the exponential form n x n x n x b x b is n³b²

Question 8 :

Express 9 x 9 x 9 x c in exponential form

Solution :

9 x 9 x 9 = 9³

Hence, the exponential form  9 x 9 x 9 x c is 9³ c

Question 9 :

Express  4 x 4 x 4 x k x k in exponential form

Solution :

4 x 4 x 4  =  4³

k x k  =  k²

Hence, the exponential form of 4 x 4 x 4 x k x k is 4³x k²

Question 10 :

Find the value of  2 x 2 x 2 x r x r

Solution :

2 x 2 x 2  = 2³

r x r  =  r²

Hence, the exponential form of  2 x 2 x 2 x r x r  is  r²

## Related Topics

After having gone through the stuff given above, we hope that the students would have understood "Using exponents".

Apart from the stuff given above, if you want to know more about "Using exponents", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations

Word problems on linear equations

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6