Find detailed and accurate answers to your questions on IDNLearn.com. Whether it's a simple query or a complex problem, our experts have the answers you need.
Applying the rule of exponent, the equivalent expression is: [tex]\mathbf{x^{45}y^5z^{20}}[/tex]
One of the rules of exponents is given as, [tex](xy)^m = (x^m)(y^m)[/tex].
Therefore, given:
(x9yz4)5
To find the equivalent expression, apply the rule of exponents as shown below:
[tex](x^9yz^4)^5 = (x^{9 \times 5})(y^5)(z^{4 \times 5})\\\\(x^9yz^4)^5 = x^{45}y^5z^{20\\\\[/tex]
Therefore, applying the rule of exponent, the equivalent expression is: [tex]\mathbf{x^{45}y^5z^{20}}[/tex]
Learn more about the rule of exponents on:
https://brainly.com/question/847241