Which expression is equivalent to ^3 sqrt x^10?
2 answers:
Answer:
Step-by-step explanation:
The answer id D, ^3 sqrt x^9 times x
Answer:
![\sqrt[3]{x^{10}}=\sqrt[3]{x^9 *x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B10%7D%7D%3D%5Csqrt%5B3%5D%7Bx%5E9%20%2Ax%7D)
Step-by-step explanation:
Given expression is ![\sqrt[3]{x^{10}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B10%7D%7D)
WE can break the exponent x^10
a^m+n= a^m* a^m (apply this product property)
10 can be written as 3+3+3+1
x^10 can be written as x^3 *x^3 *x^3 *x^1
or x^10 can be written as x^9 *x
So ![\sqrt[3]{x^{10}}=\sqrt[3]{x^9 *x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B10%7D%7D%3D%5Csqrt%5B3%5D%7Bx%5E9%20%2Ax%7D)
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