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What is the quotient of startfraction 7 superscript negative 1 baseline over 7 superscript negative 2 baseline endfraction?

Sagot :

The expression 7⁻¹ ÷ 7⁻²  is a quotient expression, and the value of the quotient 7⁻¹ ÷ 7⁻²  is 7

How to evaluate the exponents?

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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