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Popular >

simplify (sqrt(49))^3

Solution

simplify

(49)^{3}

Solution

343

Solution steps

(49)^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(49)^{2 + 1} = (49)^{2} 49

= (49)^{2} 49

Apply exponent rule:

(49)^{2} = 49

= 4949

Prime factorization of

49 : 7^{2}

= 49 7^{2}

Apply radical rule:

a^{2} = a, a \geq 0

7^{2} = 7

= 49 \cdot 7

Multiply the numbers:

49 \cdot 7 = 343

= 343

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Frequently Asked Questions (FAQ)

What is (sqrt(49))^3 ?
The solution to (sqrt(49))^3 is 343