Question

Simplify:-(-2/5)^15×(-5/2)^8
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Answer 1

Answer:

(-2/5)^15 = -(32768/30517578125)

(-5/2)^8 = 390625/256

So (-2/5)^15 * (-5/2)^8 = -(32768/30517578125)  * 390625/256

or -32768                         390625

    -------------------    *         -------------

  -30517578125                  256

       -128

 or  ---------     = 128 / 78125 (Ans)

    - 78125

Answer 2

Answer:

(2/5)^7

Step-by-step explanation:

(-2/5)^15×(-5/2)^8

-*- becomes +

(2^15 / 5^15) * (5^8 / 2^8)

= 2 ^(15-8)

5^(15-8)

= (2/5)^7