## About "Power rule of exponents worksheet"

Power rule of exponents worksheet :

Here we are going to see some practice questions on power rule of exponents.

(1)  Simplify (6 t6)2

(2)  Simplify (2/u)5

(3)  Simplify (5c7)2

(4)  Simplify (10 t3)2

(5)  Simplify the expression given below.

4³· 5³

(6) Simplify the expression given below.

128· 128

(7)  Simplify the expression given below.

5³

(8)  Simplify the expression given below.

(a1/2)3/2

(9)  Simplify the expression given below.

(27x6)3/2

(10)  Simplify the expression given below.

5122/3

## Power rule of exponents worksheet - Solution

Question 1 :

Simplify (6 t6)2

Solution :

=  (6 t6)2

Here the power 2 is common for both 6 and t^6.Since it is multiplying, we have to distribute the power for both terms.

=  62 (t6)2

=  36 t(6 x 2)

=  36 t12

Question 2 :

Simplify (2/u)5

Solution :

=  (2/u)5

Here the power 5 is common for both numerator and denominator.

=  (25 / u5)

=  (32/u5)

Question 3 :

Simplify (5c7)2

Solution :

=  (5c7)2

Here the power 2 is common for both 5 and c7

=  52 (c7)2

=  (5 x 5)[ c(7 x 2) ]

=  25 c14

Question 4 :

Simplify (10 t3)2

Solution :

=  (10 t3)2

Here the power 2 is common for both 10 and t3

=  102 (t3)2

=  (10 x 10)[ t(3 x 2) ]

=  100 t6

Question 5 :

Simplify the expression given below.

4³· 5³

Solution :

Using power of a product property, we can simplify the given expression.

4³· 5³  =  (4 · 5)³

4³· 5³  =  20³

4³· 5³  =  8000

Question 6 :

Simplify the expression given below.

128· 128

Solution :

Using zero exponent property, we can simplify the given expression.

128· 128  =  1 · 128

128· 128  =  128

Question 7 :

Simplify the expression given below.

5³

Solution :

Using negative exponent property, we can simplify the given expression.

5³  =  1/5³

=  1/125

Question 8 :

Simplify the expression given below.

(a1/2)3/2

Solution :

When we have power raised to another power, we have to multiply both powers.

(a1/2)3/2  =  a(1/2)(3/2)

=  a(3/4)

Question 9 :

Simplify the expression given below.

(27x6)3/2

Solution :

When we have power raised to another power, we have to multiply both powers.

(27x6)3/2  =  (33x6)(3/2)

=  (33)3/2 (x6)3/2

=  39/2 x9

Question 10 :

Simplify the expression given below.

5122/3

Solution :

When we have power raised to another power, we have to multiply both powers.

5122/3  =  (83)(2/3)

=  8

## Related pages

Apart from the stuff "Power rule of exponents worksheet", if you need any other stuff in math, please use our google custom search here.

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations

Word problems on linear 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