Chapter 7: Q7. (page 399)

Write each expression using exponents.
$\frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3}$

Short Answer

Expert verified

The required expression is represented by ${(\frac{1}{3})}^{8}$ .

Step by step solution

Step 1. Count the factors of the provided fraction.

The provided fraction is $\frac{1}{3}$ and the count associated with its factors is represented by 8.

Step 2. Take the help of obtained count and form the required exponential form.

Write the exponential form by taking the provided fraction as base and the count associated with its factors as exponent on it.

${(\frac{1}{3})}^{8}$

Step 3. Write the conclusion.

The obtained expression contains contain exponent which means that ${(\frac{1}{3})}^{8}$ is the required expression.

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Planet	Distance from Sun (km)
Mercury	$5.79 \times 10^{7}$
Earth	$1.50 \times 10^{8}$
Mars	$2.28 \times 10^{8}$
Saturn	$1.43 \times 10^{9}$

Write each expression using exponents.
$\frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3}$

Short Answer

Step by step solution

Step 1. Count the factors of the provided fraction.

Step 2. Take the help of obtained count and form the required exponential form.

Step 3. Write the conclusion.

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Write each expression using exponents.13⋅13⋅13⋅13⋅13⋅13⋅13⋅13

Short Answer

Step by step solution

Step 1. Count the factors of the provided fraction.

Step 2. Take the help of obtained count and form the required exponential form.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Mechanics Maths

Calculus

Applied Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Write each expression using exponents.
$\frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3}$