# SIMPLIFY UISNG LAWS OF EXPONENTS WORKSHEET

(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  Question 1 :

Simplify (-7)² x (-3)³

Solution :

Since the power of -7 is even, the answer must have positive sign. So it is enough to multiply 7 two times.

(-7)2 = 7 x 7 ==> 49

Since the power of -3 is odd, the answer will have negative sign.

(-3)3 = 3 x 3 x 3 ==> -27

(-7)2 x (-3)3 = 49 x (-27) ==> -1323

Question 2 :

Simplify (-2)⁵ x (-1)83

Solution :

(-2)⁵  =  -32

(-1)83  =  -1

=  -32(-1)

=  32

Question 3 :

Simplify (-4)⁵ ÷ (-4)

Solution :

=  (-4)⁵/(-4)

=  (-4) 5-8

=  (-4)-3

=  1/(-4)3

=  -1/64

Question 4 :

Simplify (-3)4 x (5/3)4

Solution :

(-3)⁴ x (5/3)⁴

=  (3)⁴ x (5⁴/3⁴)

By canceling 34 in both numerator and denominator, we get

= 5⁴ ==> 5 x 5 x 5 x 5 ==> 625

Question 5 :

Simplify (3-7÷ 310) x 3-5

Solution :

=  (3-7÷ 310) x 3-5

=  (3-7x 3-10) x 3-5

=  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

Question 10 :

Simplify Solution :

= (-3)4

=  -81 Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

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