Find the quotient of the quantity 32 times ten raised to the negative twenty second power end quantity divided by the quantity 8 times ten raised to the negative twenty second power end quantity.. write the final answer in scientific notation. 4 x 10−44 4 x 1044 4 x 1022 4 x 100

Respuesta :

The final answer in scientific notation is 4 × 10⁰.

Firstly writing both dividend and divisor in scientific notation.

Dividend = 32 × 10⁻²²

Divisor = 8 × 10⁻²²

Now  performing division to find the quotient.

Quotient = Dividend ÷ Divisor

Quotient = 32 × 10⁻²² ÷ 8 × 10⁻²²

As per the known rule of exponents, aˣ ÷ aⁿ = aˣ⁻ⁿ

Quotient = (32 ÷ 8) × 10⁻²² ⁻ ⁽⁻²²⁾

Dividing the base numbers

Quotient = 4 × 10⁻²²⁺²²

Performing subtraction on exponents

Quotient = 4 × 10⁰

Also, as per the known fact, a⁰ = 1. So, the final answer is 4 and in scientific notation the final answer is 4 × 10⁰.

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