Solve 5³ ÷ 5² × 2³: Laws of Exponents Practice

53:52×23= 5^3:5^2\times2^3=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve the following problem
00:03 Calculate the powers
00:09 Break down and calculate the power
00:12 Continue solving one operation at a time
00:15 This is the solution

Step-by-step written solution

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1

Understand the problem

53:52×23= 5^3:5^2\times2^3=

2

Step-by-step solution

In the first stage, let's calculate the powers of each of the terms:

53=5×5×5=25×5=125 5^3=5\times5\times5=25\times5=125

52=5×5=25 5^2=5\times5=25

23=2×2×2=4×2=8 2^3=2\times2\times2=4\times2=8

Now let's write the resulting expression:

125:25×8= 125:25\times8=

Since the only operations in the expression are multiplication and division, we will solve the expression from left to right

In other words, we will divide first and then multiply:

125:25=5 125:25=5

5×8=40 5\times8=40

3

Final Answer

40

Practice Quiz

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What is the result of the following equation?

\( 36-4\div2 \)

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