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Popular >

simplify sqrt(9^3)

Solution

simplify

9^{3}

Solution

27

Solution steps

9^{3}

Apply exponent rule:

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

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

= 9^{2} \cdot 9

Apply radical rule:

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

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

= 9^{2} 9

Apply radical rule:

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

9^{2} = 9

= 99

Prime factorization of

9 : 3^{2}

= 9 3^{2}

Apply radical rule:

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

3^{2} = 3

= 9 \cdot 3

Multiply the numbers:

9 \cdot 3 = 27

= 27

Popular Examples

simplify 3/4-(-7/6)simplify

\frac{3}{4} - (- \frac{7}{6})

x^{2} - 5 x = 6

\frac{2}{5} n + 7 = 12

factor 64x^2-16x+1 factor

64 x^{2} - 16 x + 1

3 (x - 5) + x < 13

Frequently Asked Questions (FAQ)

What is sqrt(9^3) ?
The solution to sqrt(9^3) is 27