2^2*2^3*2^2 — step-by-step solution

Let's evaluate:

2^{2} \times 2^{3} \times 2^{2}

ⓘ Multiplying powers with the same base adds the exponents:

2^{2} \times 2^{3} \times 2^{2}

2^{2 + 3 + 2}

2^{2 + 3 + 2}

ⓘ The exponent is computed before the power:

2 + 3

5

2^{5 + 2}

ⓘ The exponent is computed before the power:

5 + 2

7

2^{7}

ⓘ An integer power is a repeated product:

2^{7}

2 \times ... \times 2

, 7 times =

128

▶Result:

128