To find the value of 2⁵ ÷ 2³, we use the law of indices which states that when dividing powers with the same base, you subtract the exponents: a^m ÷ aⁿ = a^(m−n). Step 1: Apply the division rule for exponents. 2⁵ ÷ 2³ = 2⁵⁻³ Step 2: Subtract the exponents. 2⁵⁻³ = 2² Step 3: Calculate the value of 2². 2² = 2 × 2 = 4 The value is: 2⁵ ÷ 2³ = 4

2power5÷2power3

June 4, 2026Mathematics

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Answer

2^5 \div 2^3 = 4

Step-by-step solution

3 steps

To find the value of $2^5 \div 2^3$ , we use the law of indices which states that when dividing powers with the same base, you subtract the exponents: $a^m \div a^n = a^{m-n}$ .

Apply the division rule for exponents.
$2^5 \div 2^3 = 2^{5-3}$
Subtract the exponents.
$2^{5-3} = 2^2$
Calculate the value of $2^2$ .
$2^2 = 2 \times 2 = 4$
The value is:
$2^5 \div 2^3 = \boxed{4}$

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2power5÷2power3

Answer

Step-by-step solution

Apply the division rule for exponents.

Subtract the exponents.

Calculate the value of 222^222.

Still stuck on this one?

Calculate the value of $2^2$ .