Expand 5 to the Fourth Power: Calculate 5⁴

Expand the following equation:

54= 5^4=

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Step-by-step video solution

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00:00 Identify the equivalent expressions
00:04 According to the laws of exponents, the multiplication of powers with the same base (A)
00:08 equals the same base raised to the sum of the exponents (N+M)
00:11 We will apply this formula to our exercise in order to simplify it
00:14 We'll maintain the base and add together the exponents
00:18 We can observe that this expression is not equal to the original expression
00:21 Let's simplify the remaining expressions in the same way
00:25 This expression is not equal to the original expression
00:37 This expression is also not equal to the original expression
00:51 This expression is equal to the original expression
00:55 This is the solution

Step-by-step written solution

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1

Understand the problem

Expand the following equation:

54= 5^4=

3

Final Answer

5×5×52 5\times5\times5^2

Practice Quiz

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

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