(1/2)^2*(1/2)^3 — step-by-step solution

Let's evaluate:

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

ⓘ Multiplying powers with the same base adds the exponents:

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

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

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

ⓘ The power of a quotient is the quotient of the powers, (a/b)^n = a^n/b^n:

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

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

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

ⓘ Powers are computed before multiplications, additions and subtractions. An integer power is a repeated product:

2^{5}

2 \times ... \times 2

, 5 times =

32

▶Result:

\frac{1}{32}

The numeric value of:

\frac{1}{32}

is:

▷

3.125 \times 10^{- 2}