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Popular >

simplify 243^{6/5}

Solution

simplify

24 3^{\frac{6}{5}}

Solution

729

Solution steps

24 3^{\frac{6}{5}}

Factor the number:

243 = 3^{5}

= (3^{5})^{\frac{6}{5}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 3^{5 \cdot \frac{6}{5}}

5 \cdot \frac{6}{5} = 6

= 3^{6}

3^{6} = 729

= 729

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Frequently Asked Questions (FAQ)

What is 243^{6/5} ?
The solution to 243^{6/5} is 729