The expression 7⁻¹ ÷ 7⁻² is a quotient expression, and the value of the quotient 7⁻¹ ÷ 7⁻² is 7
The expression is given as:
7⁻¹ ÷ 7⁻²
Rewrite the expression using the product sign
7⁻¹ ÷ 7⁻² = 7⁻¹ * 7²
Apply the product rule of indices
7⁻¹ ÷ 7⁻² = 7⁻¹⁺²
Evaluate the sum of the exponents
7⁻¹ ÷ 7⁻² = 7¹
Evaluate the exponent
7⁻¹ ÷ 7⁻² = 7
Hence, the value of the quotient 7⁻¹ ÷ 7⁻² is 7
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