Multiply. c^4 d^10 ·c^3 d^6

Name: Problem 28, Chapter 10: Prealgebra
Uploaded: 2020-07-26T18:54:53-08:00
Duration: 24 s
Channel: Maninder Singh
Description: Multiply. c^4 d^10 ·c^3 d^6

step 1 multiply c4 d10 by c3d6 now when we combine the powers of c it will give us c power 4 plus 3 and

Question

Multiply. $$c^{4} d^{10} \cdot c^{3} d^{6}$$

   Multiply.
$$c^{4} d^{10} \cdot c^{3} d^{6}$$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 10, Problem 28

Instant Answer

Solved by Expert Maninder Singh

07/26/2020

Step 1

This is a rule of exponents. So, we can write the given expression as follows: $$c^{4} d^{10} \cdot c^{3} d^{6} = c^{4+3} d^{10+6}$$ Show more…

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Multiply. $$c^{4} d^{10} \cdot c^{3} d^{6}$$

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Key Concepts

Properties of Exponents

This concept covers the rules that govern how exponents behave in algebraic operations, enabling the systematic simplification of expressions involving powers. It includes various rules such as the product of powers rule, which is particularly useful when multiplying terms with the same base.

Product of Powers Rule

This rule states that when multiplying two expressions with the same base, you add their exponents. It is formulated as a^m * a^n = a^(m+n), where a is the common base and m and n are the exponents. This principle is fundamental in simplifying exponential expressions.

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