Write the answer in proper scientific notation: (0.00004 x10^(7))^(3)

Write in Scientific Notation: Write the given number in scientific notation. 0.00004 can be written as 4 x 10^(-5) because we move the decimal point 5 places to the right to get the number 4.Combine with Power of 10: Combine the scientific notation of 0.00004 with the given power of 10. (4 x 10^(-5) x 10^7)^(3)Apply Power of 3: Apply the power of 3 to both the coefficient (4) and the powers of 10. (4^3) x (10^(-5))^3 x (10^7)^3Calculate Powers: Calculate the powers. 4^3 = 64 (10^(-5))^3 = 10^(-15) (10^7)^3 = 10^(21)Combine Powers of 10: Combine the powers of 10. 10^(-15) x 10^(21) = 10^(-15 + 21) = 10^6Multiply for Final Answer: Multiply the coefficient by the combined power of 10 to get the final answer in scientific notation. 64 x 10^6

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Write the answer in proper scientific notation: $\newline$ $(0.00004 \times 10^{7})^{3}$

View step-by-step help

Home

Math Problems

Algebra 2

Evaluate rational exponents

Full solution

Q. Write the answer in proper scientific notation:

\newline

(0.00004 \times 10^{7})^{3}

Write in Scientific Notation: Write the given number in scientific notation. $\newline$ $0.00004$ can be written as $4 \times 10^{-5}$ because we move the decimal point $5$ places to the right to get the number $4$ .
Combine with Power of $10$ : Combine the scientific notation of $0.00004$ with the given power of $10$ . $\newline$ $(4 \times 10^{-5} \times 10^7)^{3}$
Apply Power of $3$ : Apply the power of $3$ to both the coefficient $4$ and the powers of $10$ . $4^3$ x $10^{-5}$ ^ $3$ x $10^7$ ^ $3$
Calculate Powers: Calculate the powers. $\newline$ $4^3 = 64$ $\newline$ $(10^{-5})^3 = 10^{-15}$ $\newline$ $(10^7)^3 = 10^{21}$
Combine Powers of $10$ : Combine the powers of $10$ . $\newline$ $10^{-15} \times 10^{21} = 10^{-15 + 21} = 10^6$
Multiply for Final Answer: Multiply the coefficient by the combined power of $10$ to get the final answer in scientific notation. $64 \times 10^6$