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Popular >

simplify sqrt(9^5)

Solution

simplify

9^{5}

Solution

243

Solution steps

9^{5}

Apply exponent rule:

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

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

= 9^{4} \cdot 9

Apply radical rule:

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

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

= 9^{4} 9

9^{4} = 81

= 819

Prime factorization of

9 : 3^{2}

= 81 3^{2}

Apply radical rule:

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

3^{2} = 3

= 81 \cdot 3

Multiply the numbers:

81 \cdot 3 = 243

= 243

Popular Examples

simplify x^{-5}*x^3 simplify

x^{- 5} \cdot x^{3}

simplify 7sqrt(36)simplify

736

2 X^{2} + 4 X - 6 = 0

(3x-2)/5 >= (2x-4)/6

\frac{3 x - 2}{5} \geq \frac{2 x - 4}{6}

1+(2x)/5 = 1/5-2x

1 + \frac{2 x}{5} = \frac{1}{5} - 2 x

Frequently Asked Questions (FAQ)

What is sqrt(9^5) ?
The solution to sqrt(9^5) is 243