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2 years ago

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

Mathematics

1 answer:

Vika [28.1K]2 years ago

5 0

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

<h3>How to evaluate the exponents?</h3>

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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