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Which expression is equivalent to (x9yz4)5?

Sagot :

akposevictor

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

What is the Rule of Exponents?

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

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