Question

What is the simplified form of the following expression?

(1)/(10)\sqrt(10,000a^(10)b^(10))

10|a5b5|
10a8b8
100|a5b5|
100a8b8

Answer 1

Step-by-step explanation:

Step 1:  Simplify the root

$\frac{1}{10}*\sqrt{10000*a^1^0*b^1^0}$

$\frac{1}{10} * \sqrt{100^2*(a^5)^2*(b^5)^2$

$\frac{1}{10}*100*a^5*b^5$

$10a^5b^5$

Answer:  $10a^5b^5$

Answer 2

The answer is 100$a^{5} b^{5}$.

How to simplify?

To simplify any algebraic expression, the following are the simple rules and steps: put off any grouping symbol inclusive of brackets and parentheses by means of multiplying elements. Use the exponent rule to take away grouping if the phrases are containing exponents.

Given

1 / 10 * √10000 *$a^{10}$ * $b^{10}$

1 / 10 * 1000 *$a^{5}$ *$b^{5}$

⇒ 100$a^{5} b^{5}$

An expression is a set of terms combined using the operations.

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