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Anni [7]
3 years ago
11

Simplify the expression. Write your answer as a power.

"TexFormula1" title="(5^{4} )^{3}" alt="(5^{4} )^{3}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0

Answer:

5^{12}

Step-by-step explanation:

Lets say there's a number 'x' and there's an expression (x^a)^b where 'a' & 'b' are also numbers , <u>the simplified form of the expression is </u>x^{a \times b}<u>.</u>

So ,

(5^4)^3 = 5^{4 \times 3} = 5^{12}

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Step-by-step explanation:

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On average, Ryan can finish a puzzle in 3 hours but, depending on the difficulty of the puzzle, his time can vary Let x represen
saw5 [17]

Answer:

Ryan's maximum time to complete a puzzle is 5 hours

Ryan's minimum time to complete a puzzle is 1 hour

Step-by-step explanation:

<u><em>The complete question is</em></u>

On average, Ryan can finish a puzzle in 3 hours but, depending on the difficulty of the puzzle, his time can vary from the average by 2 hours.

Which absolute value equation can be used to calculate Ryan's maximum and minimum time to complete a puzzle?

Let x represent the maximum and minimum time

we know that

The absolute value of the difference between x and the average must be equal to 2

so

\left|x-3\right|=2

Solve the absolute value

First case (positive case)

+(x-3)=2

x=2+3\\x=5

Second case (negative case)

-(x-3)=2

Multiply by -1 both sides

(x-3)=-2

x=-2+3\\x=1

therefore

Ryan's maximum time to complete a puzzle is 5 hours

Ryan's minimum time to complete a puzzle is 1 hour

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