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Chapter 5: Problem 7

Multiply each expression using the product rule. $$7^{9} \cdot 7^{10}$$

Short Answer

Expert verified
\(7^{19}\)

Step by step solution

01

- Identify the bases

You have two exponential expressions \(7^{9}\) and \(7^{10}\) that you are multiplying together. Note that the bases are the same (in this case 7).
02

- Apply the rule

When multiplying two numbers with the same base, apply the product rule of exponents. This rule states that you need to add the exponents together. In this case, you will add the exponents 9 and 10.
03

- Complete the calculation

Adding 9 and 10 gives you 19. Thus, based on the product rule of exponents, \(7^{9} \cdot 7^{10} = 7^{19}\).

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Most popular questions from this chapter

In Exercises \(79-82,\) simplify each expression. Divide the sum of \((y+4)^{2}\) and \((y+4)(y-4)\) by \(2 y\)

Solve: \(8-6 x>4 x-12\)

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