Question

By what numbers should (-512)^1 be divided
so that the quotient may be equal to (8)^-2
Please give me full explained....
whose answer will I get first will be mark as brainlist.... ​

Answer 1

I get first will be mark as brainlist....

ANSWER

252=

2×2

×

3×3

×7

The prime factor 7 does not appear in pairs. To make 252 a perfect square we need one more 7.

Hence, the smallest number by which 252 must be multiplied so that

the product is a perfect square is 7.

And, 252×7=

2×2

×

3×3

×

7×7

252×7

=

2×2

×

3×3

×

7×7

=2×3×7=42

Answer 2

$\huge\red{ANSWER:-}$

✬ Let the required number be x

( 512 )^-1 ÷ x = ( 8 )^- 2

1/512 × 1/x = 1/ 64

1/x = 1/64 × 512

1/x = 1 × 8

x = 1/8

✬ so the required number is 1/8