(9 × 10⁻⁷) × (5 × 104)

Step 1: Group the numerical parts and the powers of 10. (9 × 10⁻⁷) × (5 × 10⁴) = (9 × 5) × (10⁻⁷ × 10⁴) Step 2: Multiply the numerical parts. 9 × 5 = 45 Step 3: Multiply the powers of 10 by adding their exponents. 10⁻⁷ × 10⁴ = 10⁻⁷⁺⁴ = 10⁻³ Step 4: Combine the results from Step 2 and Step 3. 45 × 10⁻³ Step 5: Convert the result to standard scientific notation. The coefficient must be between 1 and 10. 45 × 10⁻³ = (4.5 × 10¹) × 10⁻³ = 4.5 × 10¹⁺⁽⁻³⁾ = 4.5 × 10⁻² The final answer is 4.5 × 10⁻².

(9 × 10⁻⁷) × (5 × 104)

Step 1: Group the numerical parts and the powers of 10. (9 × 10⁻⁷) × (5 × 10⁴) = (9 × 5) × (10⁻⁷ × 10⁴) Step 2: Multiply the numerical parts. 9 × 5 = 45 Step 3: Multiply the powers of 10 by adding their exponents. 10⁻⁷ × 10⁴ = 10⁻⁷⁺⁴ = 10⁻³ Step 4: Combine the results from Step 2 and Step 3. 45 × 10⁻³ Step 5: Convert the result to standard scientific notation. The coefficient must be between 1 and 10. 45 × 10⁻³ = (4.5 × 10¹) × 10⁻³ = 4.5 × 10¹⁺⁽⁻³⁾ = 4.5 × 10⁻² The final answer is 4.5 × 10⁻².

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(9 x 10⁻⁷) x (5 x 104)

June 20, 2026Mathematics

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Answer

\text{4.5} \times 10^{-2}

Step-by-step solution

5 steps

Group the numerical parts and the powers of 10.
$(9 \times 10^{-7}) \times (5 \times 10^4) = (9 \times 5) \times (10^{-7} \times 10^4)$
Multiply the numerical parts.
$9 \times 5 = 45$
Multiply the powers of 10 by adding their exponents.
$10^{-7} \times 10^4 = 10^{-7 + 4} = 10^{-3}$
Combine the results from Step 2 and Step 3.
$45 \times 10^{-3}$
Convert the result to standard scientific notation.
The coefficient must be between 1 and 10.
$45 \times 10^{-3} = (4.5 \times 10^1) \times 10^{-3} = 4.5 \times 10^{1 + (-3)} = 4.5 \times 10^{-2}$
The final answer is $\text{4.5} \times 10^{-2}$ .

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(9 x 10⁻⁷) x (5 x 104)

Answer

Step-by-step solution

Group the numerical parts and the powers of 10.

Multiply the numerical parts.

Multiply the powers of 10 by adding their exponents.

Combine the results from Step 2 and Step 3.

Convert the result to standard scientific notation.

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