3 years ago

Pls help giving brainliest if its right

Mathematics

1 answer:

GaryK [48]3 years ago

6 0

Yes, you are correct.

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Which expression is equivalent to (r^5/4

Mademuasel [1]

<u>Answer:</u>

<u>Step-by-step explanation:</u>

• Multiplying two numbers with same bases is the same as adding their powers:

∴ $(\frac{4^{\frac{5}{4} } \cdot 4^{\frac{1}{4} }}{4^{\frac{1}{2} }})^{\frac{1}{2} }$

⇒ $(\frac{4^{\frac{5}{4} } ^ + ^{\frac{1}{4} }}{4^{\frac{1}{2} }})^{\frac{1}{2} }$

⇒ $(\frac{4^{\frac{6}{4} }}{4^{\frac{1}{2} }})^{\frac{1}{2} }$

• Dividing two numbers with same bases is the same as subtracting their powers:

∴ $(\frac{4^{\frac{6}{4} }}{4^{\frac{1}{2} }})^{\frac{1}{2} }$

⇒ $(4^{{\frac{6}{4} - \frac{1}{2} }})^{\frac{1}{2} }$

⇒ $(4^{1})^{\frac{1}{2} }$

⇒ $4^{\frac{1}{2}$

• Raising anything to the power of $\frac{1}{2}$ is the same as square-rooting it:

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Very easy, 1,129.87! I hope I understood correctly.

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First we need to find a common denominator

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