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Popular >

simplify (-1/2)^3*(-1/2)^2

Solution

simplify

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

Solution

- \frac{1}{32}

+1

Decimal Notation

- 0.03125

Solution steps

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

Apply exponent rule:

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

(- \frac{1}{2})^{3} (- \frac{1}{2})^{2} = (- \frac{1}{2})^{3 + 2}

= (- \frac{1}{2})^{3 + 2}

Add the numbers:

3 + 2 = 5

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

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

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

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

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

1^{5} = 1

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

2^{5} = 32

= - \frac{1}{32}

Popular Examples

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Frequently Asked Questions (FAQ)

What is (-1/2)^3*(-1/2)^2 ?
The solution to (-1/2)^3*(-1/2)^2 is -1/32