## REPRESENTING TOO LARGE NUMBERS IN EXPONENTIAL USING THE GIVEN NUMBERS

Representing too Large Numbers in Exponential Using the Given Numbers :

Here we are going to see some example problems to show how we represent too large numbers in exponential using the given numbers.

## Representing too Large Numbers in Exponential Using the Given Numbers

Question 1 :

Write 93000 as a power of 3.

Solution :

=  93000

Here, we may write 9 as 32.

=  (32)3000

=  36000

Question 2 :

Write 274000 as a power of 3.

Solution :

Here, we may write 27 as 33.

=  (33)4000

=  312000

Question 3 :

Write 54000 as a power of 25.

Solution :

=  54000

In order to make the base as 25, let us write 4000 as 2(2000)

=  (52)2000

=  252000

Question 4 :

Write 23000 as a power of 8.

Solution :

=  23000

In order to make the base as 8, let us write 3000 as 3(1000)

=  (23)1000

=  81000

Question 5 :

Write 25 ⋅ 81000 as a power of 2.

Solution :

=   25 ⋅ 81000

Here, we may write 8 as 23

=   25 ⋅ (23)1000

=   25 ⋅ 23000

=   2(3000 + 5)

=   23005

Question 6 :

Write 53 ⋅ 252000 as a power of 5.

Solution :

=   53 ⋅ 252000

Here, we may write 25 as 52

=  53 ⋅ (52)2000

=  53 ⋅ 54000

=  54003

Question 7 :

Write 2100 · 4200 · 8300 as a power of 2.

Solution :

=   2100 · 4200 · 8300

=   2100 · (22)200 · (23)200

=   2100 · 2400 · 2600

=   2(100 + 400 + 600)

=   21100

Question 8 :

Write 3500 · 9200 · 27100 as a power of 3.

Solution :

=  3500 · 9200 · 27100

=   3500 · (32)200 · (33)100

=   3500 · 3400 · 3300

=   3(500 + 400 + 300)

=   31200

After having gone through the stuff given above, we hope that the students would have understood "Representing too Large Numbers in Exponential Using the Given Numbers".

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

You can also visit our following web pages on different stuff in math.

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