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Popular >

simplify sqrt(49^3)

Solution

simplify

4 9^{3}

Solution

343

Solution steps

4 9^{3}

Apply exponent rule:

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

4 9^{2 + 1} = 4 9^{2} \cdot 49

= 4 9^{2} \cdot 49

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

4 9^{2} \cdot 49 = 4 9^{2} 49

= 4 9^{2} 49

Apply radical rule:

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

4 9^{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

Popular Examples

(5x-19)/(-3)=-7

\frac{5 x - 19}{- 3} = - 7

factor 8t^2+8t-72 factor

8 t^{2} + 8 t - 72

p^{2} + 8 p + 16 = 0

solvefor z,-p(d+z)=2z+59 solve for

z, - p (d + z) = 2 z + 59

simplify (7!)/(4!(7-4)!)simplify

\frac{7 !}{4 ! ( 7 - 4 ) !}

Frequently Asked Questions (FAQ)

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