Can someone help me this is Algebra 2 thank you
1 answer:
Answer:
Order of exponentiation can be swapped here, and the fractional power written as a root.
Step-by-step explanation:
The commutative property of multiplication and the rules of exponents apply.
<h3>Product of exponents</h3>
The rule is ...
(a^b)^c = a^(bc)
<h3>Application</h3>
The given expression can be rearranged to ...
![\left(3^\frac{1}{5}\right)^2=3^{\frac{1}{5}\cdot2}=3^{2\cdot\frac{1}{5}}=\left(3^2\right)^\frac{1}{5}\\\\=9^\frac{1}{5}=\boxed{\sqrt[5]{9}}](https://tex.z-dn.net/?f=%5Cleft%283%5E%5Cfrac%7B1%7D%7B5%7D%5Cright%29%5E2%3D3%5E%7B%5Cfrac%7B1%7D%7B5%7D%5Ccdot2%7D%3D3%5E%7B2%5Ccdot%5Cfrac%7B1%7D%7B5%7D%7D%3D%5Cleft%283%5E2%5Cright%29%5E%5Cfrac%7B1%7D%7B5%7D%5C%5C%5C%5C%3D9%5E%5Cfrac%7B1%7D%7B5%7D%3D%5Cboxed%7B%5Csqrt%5B5%5D%7B9%7D%7D)
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and click to thanks because i need points.
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Step-by-step explanation:
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❖ You can move the decimal point one place. 1 meter = 0.001 km so we can move the decimal point one place.
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