simplify (2^3)/(2^5) — step-by-step solution

Let's reduce:

\frac{2^{3}}{2^{5}}

ⓘ Dividing powers with the same base subtracts the exponents:

\frac{2^{3}}{2^{5}}

2^{3 - 5}

2^{3 - 5}

ⓘ The exponent is computed before the power:

3 - 5

-2

2^{-2}

ⓘ The factor is moved to the numerator or the denominator by changing the sign of its exponent, for a nonzero base:

2^{-2}

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

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

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

2^{2}

2 \times 2

4

▶Simplified form:

\frac{1}{4}

The numeric value of:

\frac{1}{4}

equals:

▷

0.25