The expression that is equivalent to (x^9 yz^4)^5 is x^45y^4z^20
How to determine which expression is equivalent?
The expression is given as:
(x9 yz4)^5
Rewrite properly as:
(x^9 yz^4)^5
Open the brackets
So, we have:
(x^9 yz^4)^5 = x^(9 * 5) * y^4 * z^(4*5)
Evaluate the products
(x^9 yz^4)^5 = x^45* y^4 * z^20
Evaluate the products
(x^9 yz^4)^5 = x^45y^4z^20
Hence, the expression that is equivalent to (x^9 yz^4)^5 is x^45y^4z^20
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