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Popular >

simplify 49^{-3/2}

Solution

simplify

4 9^{- \frac{3}{2}}

Solution

\frac{1}{343}

+1

Decimal Notation

0.00291 \dots

Solution steps

4 9^{- \frac{3}{2}}

Factor the number:

49 = 7^{2}

= (7^{2})^{- \frac{3}{2}}

Apply exponent rule:

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

= 7^{2 (- \frac{3}{2})}

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

= 7^{- 3}

Apply exponent rule:

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

7^{- 3} = \frac{1}{7 ^{3}}

= \frac{1}{7 ^{3}}

7^{3} = 343

= \frac{1}{343}

Popular Examples

simplify (2^{-1})/(2^{-2)}simplify

\frac{2 ^{- 1}}{2 ^{- 2}}

|0.68x+3.46|=|-1.56x+2.62|

∣ 0.68 x + 3.46 ∣ = ∣ - 1.56 x + 2.62 ∣

(2 n)!

q = 180 - \frac{1}{2}

simplify (15!)/((15-6)!6!)simplify

\frac{15 !}{( 15 - 6 ) ! 6 !}

Frequently Asked Questions (FAQ)

What is 49^{-3/2} ?
The solution to 49^{-3/2} is 1/343