Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Write the answer in proper scientific notation:

(6x10^(-7))/(0.0004)

Write the answer in proper scientific notation: $\newline$ $\frac{6 x 10^{-7}}{0.0004}$

View step-by-step help

View step-by-step help

Multiplication with rational exponents

Full solution

Q. Write the answer in proper scientific notation:

\newline

\frac{6 x 10^{-7}}{0.0004}

Convert to Scientific Notation: Convert the divisor to scientific notation. $\newline$ To divide by $0.0004$ , we first convert $0.0004$ to scientific notation. $\newline$ $0.0004 = 4 \times 10^{-4}$
Set Up Division: Set up the division of the two numbers in scientific notation. $\newline$ Now we have $(6 \times 10^{-7}) \div (4 \times 10^{-4})$ .
Divide and Subtract: Divide the coefficients and subtract the exponents. $\newline$ When dividing numbers in scientific notation, we divide the coefficients and subtract the exponents of $10$ . $\newline$ $(6 \div 4) \times 10^{-7 - (-4)}$
Perform Division: Perform the division and subtraction. $\newline$ $6 \div 4 = 1.5$ $\newline$ $-7 - (-4) = -7 + 4 = -3$ $\newline$ So, $1.5 \times 10^{-3}$ is the result.

More problems from Multiplication with rational exponents

Question

\newline

81^{\frac{1}{2}}

\newline

Posted 3 months ago

Question

\newline

(-32)^{1/5}

\newline

Posted 3 months ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{w^{\frac{4}{3}}}{w^{\frac{7}{3}}}

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 3 months ago

Question

Simplify. Assume all variables are positive.

\newline

(2r^{\frac{1}{3}})^8

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 2 months ago

Question

Simplify. Assume all variables are positive.

\newline

v^{\frac{7}{4}} \cdot v^{\frac{9}{4}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 3 months ago

Question

\newline

1^{\frac{1}{4}} \cdot 1^{\frac{1}{4}}

\newline

Posted 2 months ago

Question

\newline

32^{(-1/5)}

Posted 2 months ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{w^{\frac{3}{2}}}{w^{\frac{5}{2}}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 3 months ago

Question

Simplify. Assume all variables are positive.

\newline

(27x)^{\frac{2}{3}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 2 months ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{x^{\frac{1}{4}}}{x^{\frac{11}{4}}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 2 months ago