Simplify b⁴ × b⁵: Exponent Multiplication Practice

Reduce the following equation:

b4×b5= b^4\times b^5=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Simplify the following problem
00:03 According to the laws of exponents, the multiplication of powers with the same base (A)
00:06 equals the same base raised to the sum of the exponents (N+M)
00:09 We will apply this formula to our exercise
00:12 We'll maintain the base and add the exponents together
00:16 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Reduce the following equation:

b4×b5= b^4\times b^5=

2

Step-by-step solution

To solve this problem, we need to simplify the expression using the rules of exponents:

  • Step 1: Recognize the base b b is the same for both terms in the multiplication.

  • Step 2: Apply the exponent multiplication rule: add the exponents of like bases. Thus, b4×b5=b4+5 b^4 \times b^5 = b^{4+5} .

The correct answer to the problem isb4+5 b^{4+5} .

3

Final Answer

b4+5 b^{4+5}

Practice Quiz

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\( 112^0=\text{?} \)

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