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Popular >

simplify-1/(4(4)^{3/2)}

Solution

simplify

- \frac{1}{4 ( 4 ) ^{\frac{3}{2}}}

Solution

- \frac{1}{32}

+1

Decimal Notation

- 0.03125

Solution steps

- \frac{1}{4 \cdot 4 ^{\frac{3}{2}}}

Apply exponent rule:

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

4 \cdot 4^{\frac{3}{2}} = 4^{1 + \frac{3}{2}}

= - \frac{1}{4 ^{1 + \frac{3}{2}}}

1 + \frac{3}{2} = \frac{5}{2}

= - \frac{1}{4 ^{\frac{5}{2}}}

Factor the number:

4 = 2^{2}

= - \frac{1}{( 2 ^{2} ) ^{\frac{5}{2}}}

Apply exponent rule:

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

(2^{2})^{\frac{5}{2}} = 2^{2 \cdot \frac{5}{2}}

= - \frac{1}{2 ^{2 \cdot \frac{5}{2}}}

2 \cdot \frac{5}{2} = 5

= - \frac{1}{2 ^{5}}

2^{5} = 32

= - \frac{1}{32}

Popular Examples

- \frac{x}{10} = 11

2 x + 0.1 = x

simplify (6x)^{3/2}simplify

(6 x)^{\frac{3}{2}}

4(x+2)-6(x-7)=x+4

4 (x + 2) - 6 (x - 7) = x + 4

3 x + 3 < - 3

Frequently Asked Questions (FAQ)

What is simplify-1/(4(4)^{3/2)} ?
The solution to simplify-1/(4(4)^{3/2)} is -1/32