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Chapter 7: Q20. (page 460)

Simplify the given expression. Assume that no denominator equals zero.

3x02a

Short Answer

Expert verified

The final expression is 12a.

Step by step solution

01

Step 1. Define an expression.

A mathematical expression is a combinations of numbers and variables ordered with mathematical operations.

02

Step 2. Define the meaning of zero exponent.

Zero exponent means for any non-zero real number raised to the power of 0 is equal to 1.

03

Step 3. Simplify the expression 3x02a.

Use the property of zero exponent.

So,3x0=1

Assume that the denominator is not equal to zero.

So,3x02a=12a

This is the final simplified expression.

Therefore the final expression is 12a.

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Most popular questions from this chapter

The formula for the surface area of a cube isSA=6s2where SAis the surface area and s is the length of any side.

a. Express the surface area of the cube as a monomial.

b. What is the surface area of the cube if a=3and b=4?

FINANCIAL LITERACY Cleavon has money in an account that earns 3% simple interest. The formula for computing simple interest is I=Prt, whereI is the interest earned, P represents the principal that he put into account, r is the interest rate (in decimal form), and t represents time in years.

a. Cleavon makes a deposit of\(2c and leaves it for 2 years. Write a monomial that represents the interest earned.

b. If c represents a birthday gift of \)250, how much will Cleavon have in this account after 2 years?

Express each number in scientific notation.

0.00021

ASTRONOMY Physicists estimate that the number of stars in the universe has an order of magnitude of 1021. The number of stars in the Milky Way galaxy is around 100 billion. Using orders of magnitude, how many times as many stars are there in the universe as the Milky Way?

Determine whether the given expression is a monomial. Write yes or no.

Explain your reasoning.

15
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