Question

The Product Rule $x^n \cdot x^m = x^{n+m}$ When you multiply two exponential expressions with the same base together, you add the exponents. Simplify the following expression completely. $v^8 \cdot v^{15} =$ Simplify the following, keeping it in exponential form, then evaluate it. $2^4 \cdot 2^3 =$ Complete this expression. $w^p \cdot w^r =$ Note: We can only use the product rule when we multiply expressions together. Simplify. $3^2 + 3^5 \neq 3^{2+5}$

          The Product Rule
$x^n \cdot x^m = x^{n+m}$
When you multiply two exponential expressions with the same base together, you add the exponents.
Simplify the following expression completely.
$v^8 \cdot v^{15} =$
Simplify the following, keeping it in exponential form, then evaluate it.
$2^4 \cdot 2^3 =$
Complete this expression.
$w^p \cdot w^r =$
Note: We can only use the product rule when we multiply expressions together.
Simplify. $3^2 + 3^5 \neq 3^{2+5}$

The Product Rule
x^n · x^m = x^n+m
When you multiply two exponential expressions with the same base together, you add the exponents.
Simplify the following expression completely.
v^8 · v^15 =
Simplify the following, keeping it in exponential form, then evaluate it.
2^4 · 2^3 =
Complete this expression.
w^p · w^r =
Note: We can only use the product rule when we multiply expressions together.
Simplify. 3^2 + 3^5 ≠ 3^2+5

Added by Brenda H.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Nick Johnson

09/18/2020

Step 1

Step 1: Apply the Product Rule to simplify v^(8)*v^(15) v^(8)*v^(15) = v^(8+15) = v^(23) Show more…

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The Product Rule x^(n)*x^(m) = x^(n+m) When you multiply two exponential expressions with the same base together, you add the exponents. Simplify the following expression completely. v^(8)*v^(15) = The Product Rule u^(n)*u^(m) = u^(n+m) When you multiply two exponential expressions with the same base together, you add the exponents. Simplify the following expression completely. 8^(15) = Simplify the following, keeping it in exponential form, then evaluate it. 24^(23) = Complete this expression. w^(P)*w = Note: We can only use the product rule when we multiply expressions together.