EXPONENTS WORKSHEETS2

About "Exponents worksheets2"

Exponents worksheets2 :

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

(1)  Simplify (-7)² x (-3)³

(2)  Simplify (-2)⁵ x (-1)³

(3)  Simplify (-4)⁵ ÷ (-4)

(4)  Simplify (-3)⁴ x (5/3)⁴

(5)  Simplify (3÷ 3¹⁰) x 3

(6)  Simplify

(7)  Simplify

(8)  Simplify

(9)  Simplify

(10)  Simplify

Exponents worksheets2 - Solution

Question 1 :

Simplify (-7)² x (-3)³

Solution :

Since the power of -7 is even, the answer must have positive sign. So we can just multiply 7 two times to find the value of (-7)².

(-7)² = 7 x 7 ==> 49

Since the power of -3 is odd, the answer will have negative sign.So we can just multiply 3 three times to find the value of (-3)³.

(-3)³ = (-3) x (-3) x (-3) ==> -27

(-7)² x (-3)³ = 49 x (-27) ==> -1323

Hence the answer is -1323

Question 2 :

Simplify (-2)⁵ x (-1)³

Solution :

Since we have odd power for -2 and -1, we will have negative sign for the expansions of (-2)⁵ and (-1)³. 

Negative times negative is positive, so the final answer will have positive sign.

(-2) = 2 x 2 x 2 x 2 x 2 ==> -32

(-1)³ = -1

(-2)⁵ x (-1)³= 32

Hence the answer is 32.

Question 3 :

Simplify (-4)⁵ ÷ (-4)

Solution :

(-4)⁵ ÷ (-4)⁸ = (-4)⁵ x (-4)

Since we change the division sign as multiplication. The exponent of the denominator is going to become negative.

=  (-4)⁻⁸ ==> (-4)³

In order to make the power as positive, we are going to write the reciprocal of -4

=  (-4)³ ==> (-1/4)³ 

Since the power is odd the answer will have negative sign.

(-1/4)³ = -1/64

Hence the answer is -1/64.

Question 4 :

Simplify (-3)⁴ x (5/3)⁴

Solution :

(-3)⁴ x (5/3)⁴ = (3)⁴ x (5/3)

  = 5⁴ ==> 5 x 5 x 5 x 5 ==> 625

Question 5 :

Simplify (3÷ 3¹⁰) x 3

Solution :

=  (3÷ 3¹⁰) x 3⁵ 

=  (3⁷x 3¹⁰) x 3⁵ 

= 3^(-7 -10 - 5) ==> 3^-22 ==> 1/3²²

Question 6 :

Simplify

Solution :

Question 7 :

Simplify

Solution :

Question 8 :

Simplify

Solution :

Question 9 :

Simplify

Solution :

    = (-2)² + (-3)² + (-4)²

    = 4 + 9 + 16 ==> 29

Hence the answer is 29.

Question 10 :

Simplify

Solution :

    = (-3)⁴ ==> -81

Hence the answer is -81.

After having gone through the stuff given above, we hope that the students would have understood "Exponents worksheet2". 

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