Question

What should be multiply to (1/2)^3 so that the product is equal to (-3/8)^-3be multipled to (1/2)^3 so that the product is equal to (3/8)^-3

Answer 1

Answer:

(1) The value of x is $-\frac{4096}{27}$.

(2) The value of x is $\frac{4096}{27}$

Step-by-step explanation:

Let the number to be multiplies with be x.

(1)

Given:

$(\frac{1}{2} )^{3}\times x=(-\frac{3}{8} )^{-3}$

Solve for x as follows:

$(\frac{1}{2} )^{3}\times x=(-\frac{3}{8} )^{-3}\\(\frac{1}{2} )^{3}\times x=(-\frac{8}{3} )^{3}\\x=(-\frac{8}{3} )^{3}\times2^{3}\\=-\frac{4096}{27}$

The value of x is $-\frac{4096}{27}$.

(2)

Given:

$(\frac{1}{2} )^{3}\times x=(\frac{3}{8} )^{-3}$

Solve for x as follows:

$(\frac{1}{2} )^{3}\times x=(\frac{3}{8} )^{-3}\\(\frac{1}{2} )^{3}\times x=(\frac{8}{3} )^{3}\\x=(\frac{8}{3} )^{3}\times2^{3}\\=\frac{4096}{27}$

The value of x is $\frac{4096}{27}$.

Answer 2

Answer:

8^4/3^3

Step-by-step explanation: