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3 years ago

5

A new section of the freeway will be 6 3/5 miles long. So far 1/6 of the new section has been completed. How many more miles mus

t be built to complete the project?

1 answer:

saveliy_v [14]3 years ago

8 0

Divide 1/16 by 3/5 and you get .104 we can check by multiplying our answer by 3/5 and we get 1/16

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Which expression is equivalent to (r^5/4

Mademuasel [1]

<u>Answer:</u>

2

<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:

∴ $4^{\frac{1}{2}$

⇒ $\sqrt{4}$

⇒ 2

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2 years ago

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<em>Hope this helps :)</em>

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