Questions: Simplify. Express your answer as an expression. h^7 * h^4

Simplify. Express your answer as an expression. h^7 * h^4
Transcript text: Simplify. Express your an \[ h^{7} \cdot h^{4} \]
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Solution

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Solution Steps

Step 1: Identify the Base and Exponents

The expression \( h^{7} \cdot h^{4} \) has the same base \( h \) with exponents \( 7 \) and \( 4 \).

Step 2: Apply the Law of Exponents for Multiplication

When multiplying expressions with the same base, add the exponents: \( h^{a} \cdot h^{b} = h^{a+b} \).

Step 3: Add the Exponents

Add the exponents \( 7 \) and \( 4 \): \( 7 + 4 = 11 \).

Step 4: Write the Simplified Expression

The simplified expression is \( h^{11} \).

Final Answer

\(\boxed{h^{11}}\)

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