Question

which expression is equivalent to the one shown below? 4z^-3 x 2z^5

a. z^2/2

b. 2z^2

c. 8z^2

d. 5z^2/6

Answer 1

I hope this helps you



4z^-3.2z^5



4.2.z^-3+5


8.z^2

Answer 2

The required expression is equivalent to the $8z^{2}$.

Given that,

The given expression = $(4z^{-3}).(2z^{5} )$

We have to find,

The expression is equivalent to the function.

According to the question,

Equivalent expressions are expressions that work the same even though they look different.

If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Then,

$= (4z^{-3}) . (2z^{5} )$

The expression can be written as .

$= (4\frac{1}{z^{3} } ) .(2z^{5} )\\= \frac{8z^{5} }{z^{3} } \\= 8z^{2}$

Hence, The required expression is equivalent to the $8z^{2}$.

For more information about Equivalent relation click the link given below.

https://brainly.com/question/18407362