Question

which expression is equivalent to (x^9yz^4)^5

Answer 1

Applying the rule of exponent, the equivalent expression is: $x^{45}y^{5}z^{20}$

What is the Rule of Exponents?

One of the rules of exponents is given as, $(xy)^m=(x^m)(y^m)$.

Therefore, given:

(x9yz4)5

To find the equivalent expression, apply the rule of exponents as shown below:

$(x^9yz^4)^5=(x^{9*5})(y^5)(z^{4*5})$

$(x^9yz^4)^5=x^{45}y^5z^{20}$

Therefore, applying the rule of exponent, the equivalent expression is:

$x^{45}y^{5}z^{20}$

Learn more about the rule of exponents on:

https://brainly.com/question/847241