When evaluating StartFraction (6.28 times 10 Superscript 12 Baseline) Over (3.14 times 10 Superscript 4 Baseline) EndFraction, what will be the exponent of 10 in the quotient?
3
4
8
16

Respuesta :

The coefficient to the base will be 8 , Option C is the correct answer.

What is an Exponent ?

Exponent is the power to a number which acts as the base.

It is given that

[tex]\rm \dfrac{6.28 \times 10^{12}}{3.14 \times 10^{4}}[/tex]

From the rule of exponents

[tex]\rm a^m \times a^n = a^{m+n}\\a^m / a^n = a^{m-n}[/tex]

This gives on solving

(6.28/ 3.14) * 10¹² ⁻ ⁴

2 * 10⁸

Therefore the coefficient to the base will be 8 , Option C is the correct answer.

To know more about Exponents

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