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Popular >

simplify 49^{5/2}

Solution

simplify

4 9^{\frac{5}{2}}

Solution

16807

Solution steps

4 9^{\frac{5}{2}}

Factor the number:

49 = 7^{2}

= (7^{2})^{\frac{5}{2}}

Apply exponent rule:

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

= 7^{2 \cdot \frac{5}{2}}

2 \cdot \frac{5}{2} = 5

= 7^{5}

7^{5} = 16807

= 16807

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Frequently Asked Questions (FAQ)

What is 49^{5/2} ?
The solution to 49^{5/2} is 16807