Question

Evaluate : ( 5 to the power -1 × 8² ) ÷ ( 2 to the power -3 × 10 to the power -1)

Answer 1

Answer:

1024

Step-by-step explanation:

(1/5×64)÷(1/8*1/10)

Answer 2

Answer:

Step-by-step explanation:

5 to the power -1 × 8² = ($5^{-1}$ x $8^{2}$) = 1/5 x 8 x 8 = 64/5

2 to the power -3 × 10 to the power -1 = $2^{-3}$ x $10^{-1}$ = 1/8 x 1/10 = 1/80

Therefore,

Given expression = (64/5)/(1/80)                                                                                                = (64 x 80)/5

                                     = 64 x 16

                                     = 1024.

Hope this helps you.

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