An expression has numbers, variables, and mathematical operations. The expression that is equivalent to ⁵√(32x⁵y¹⁰z¹⁵) is 2xy²z³.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that is equivalent to ⁵√32x⁵y¹⁰z¹⁵ can be solved in the following manner,
[tex]\sqrt[5]{32x^5y^{10}z^{15}}\\\\=(2^5x^5y^{10}z^{15})^{\frac15}\\\\= 2^{(5 \times \frac15)} \times x^{(5 \times \frac15)}\times y^{(10 \times \frac15)}\times z^{(15 \times \frac15)}\\\\= 2xy^2z^3[/tex]
Thus, the expression that is equivalent to ⁵√(32x⁵y¹⁰z¹⁵) is 2xy²z³.
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