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Popular >

simplify 1/2 ((5)(0.1))^2

Solution

simplify

\frac{1}{2} ((5) (0.1))^{2}

Solution

\frac{1}{8}

+1

Decimal Notation

0.125

Solution steps

\frac{1}{2} ((5) (0.1))^{2}

(5) (0.1) = 5 \cdot 0.1

= \frac{1}{2} (5 \cdot 0.1)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(5 \cdot 0.1)^{2} = 5^{2} \cdot 0. 1^{2}

= \frac{1}{2} \cdot 5^{2} \cdot 0. 1^{2}

5^{2} = 25

= \frac{1}{2} \cdot 25 \cdot 0. 1^{2}

0. 1^{2} = 0.01

= \frac{1}{2} \cdot 25 \cdot 0.01

Multiply the numbers:

25 \cdot 0.01 = 0.25

= \frac{1}{2} \cdot 0.25

0.25 = \frac{1}{4}

= \frac{1}{2} \cdot \frac{1}{4}

\frac{1}{2} \cdot \frac{1}{4} = \frac{1}{8}

= \frac{1}{8}

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Frequently Asked Questions (FAQ)

What is 1/2 ((5)(0.1))^2 ?
The solution to 1/2 ((5)(0.1))^2 is 1/8