Question

Which expression is equivalent to (x9yz4)5?

Answer 1

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

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:

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

Therefore, applying the rule of exponent, the equivalent expression is: $\mathbf{x^{45}y^5z^{20}}$

Learn more about the rule of exponents on:

brainly.com/question/847241