Question

What is 5x5 + 5 to the power of 5.

Answer 1

So

• (5×5+5)⁵
• (25+5)⁵
• (30)⁵

a^n=a×a×a×a..n times

• 30(30)(30)(30)(30)
• 24300000

Answer 2

24,300,000

Explanation:

Given expression:
`(5 \cdot 5 + 5)^5`

We can solve this following the order of operations (PEDMAS):

• Parentheses
• Exponents
• Multiplication and Division (from left to right)
• Addition and Subtraction (from left to right)

We need to carry out that which is in the parentheses first:
`5 \cdot 5 + 5`

According to the order of operations, we should carry out the multiplication first, followed by the addition:

`\implies 5 \cdot 5+5=25+5=30`

Therefore,

`(5 \cdot 5 + 5)^5=(30)^5`

Finally, we carry out the exponent:

`\begin{aligned}\implies 30^5 &=30 \cdot 30 \cdot 30 \cdot 30 \cdot 30\\ & =24,300,000\end{aligned}`

Therefore,

`(5 \cdot 5 + 5)^5=24,300,000`

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Alternatively, if the expression is
`5 \cdot 5 + 5^5`

We would carry out the exponent first:

`\begin{aligned}\implies 5 \cdot 5 + 5^5 &=5 \cdot 5+(5 \cdot 5 \cdot 5 \cdot 5 \cdot 5)\\ & =5 \cdot 5+3125\end{aligned}`

Then the multiplication:

`\implies 5 \cdot 5+3125=25+3125`

And finally the addition:

`\implies 25+3125=3150`

Therefore,

`5 \cdot 5 + 5^5=3150`