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Popular >

simplify 9^{-5/2}

Solution

simplify

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

Solution

\frac{1}{243}

+1

Decimal Notation

0.00411 \dots

Solution steps

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

Factor the number:

9 = 3^{2}

= (3^{2})^{- \frac{5}{2}}

Apply exponent rule:

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

= 3^{2 (- \frac{5}{2})}

2 (- \frac{5}{2}) = - 5

= 3^{- 5}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

3^{- 5} = \frac{1}{3 ^{5}}

= \frac{1}{3 ^{5}}

3^{5} = 243

= \frac{1}{243}

Popular Examples

factor x^3+8x^2+21x+18 factor

x^{3} + 8 x^{2} + 21 x + 18

factor 15x^2+17x+4 factor

15 x^{2} + 17 x + 4

∣ u - 2 ∣ \geq 5

-32.8*12+8.5*9*4.5+x=0

- 32.8 \cdot 12 + 8.5 \cdot 9 \cdot 4.5 + x = 0

2x^3+6<= 5x^2+x

2 x^{3} + 6 \leq 5 x^{2} + x

Frequently Asked Questions (FAQ)

What is 9^{-5/2} ?
The solution to 9^{-5/2} is 1/243