Sure, let's simplify the given fraction step by step.

The given fraction is:
$$ \frac{4(k^4)^2}{20k} $$

Step 1: Simplify the numerator.
$$ (k^4)^2 = k^{4 \cdot 2} = k^8 $$
So, the numerator becomes:
$$ 4k^8 $$

Step 2: Rewrite the fraction with the simplified numerator.
$$ \frac{4k^8}{20k} $$

Step 3: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 4 and 20 is 4.
$$ \frac{4k^8 \div 4}{20k \div 4} = \frac{k^8}{5k} $$

Step 4: Simplify the expression by canceling out common factors. Here, $ k $ in the denominator can be canceled with one $ k $ in the numerator.
$$ \frac{k^8}{5k} = \frac{k^{8-1}}{5} = \frac{k^7}{5} $$

So, the fraction in simplest form using only positive exponents is:
$$ \frac{k^7}{5} $$

Question

Sure, let's simplify the given fraction step by step.

The given fraction is:
$$ \frac{4(k^4)^2}{20k} $$

Step 1: Simplify the numerator.
$$ (k^4)^2 = k^{4 \cdot 2} = k^8 $$
So, the numerator becomes:
$$ 4k^8 $$

Step 2: Rewrite the fraction with the simplified numerator.
$$ \frac{4k^8}{20k} $$

Step 3: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 4 and 20 is 4.
$$ \frac{4k^8 \div 4}{20k \div 4} = \frac{k^8}{5k} $$

Step 4: Simplify the expression by canceling out common factors. Here, $ k $ in the denominator can be canceled with one $ k $ in the numerator.
$$ \frac{k^8}{5k} = \frac{k^{8-1}}{5} = \frac{k^7}{5} $$

So, the fraction in simplest form using only positive exponents is:
$$ \frac{k^7}{5} $$

Knowee AI · Accepted Answer

Sure, let's simplify the given fraction step by step.

The given fraction is:
$$ \frac{4(k^4)^2}{20k} $$

Step 1: Simplify the numerator.
$$ (k^4)^2 = k^{4 \cdot 2} = k^8 $$
So, the numerator becomes:
$$ 4k^8 $$

Step 2: Rewrite the fraction with the simplified numerator.
$$ \frac{4k^8}{20k} $$

Step 3: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 4 and 20 is 4.
$$ \frac{4k^8 \div 4}{20k \div 4} = \frac{k^8}{5k} $$

Step 4: Simplify the expression by canceling out common factors. Here, $ k $ in the denominator can be canceled with one $ k $ in the numerator.
$$ \frac{k^8}{5k} = \frac{k^{8-1}}{5} = \frac{k^7}{5} $$

So, the fraction in simplest form using only positive exponents is:
$$ \frac{k^7}{5} $$

Express the following fraction in simplest form using only positive exponents.start fraction, 4, left parenthesis, k, to the power 4 , right parenthesis, squared, divided by, 20, k, end fraction20k4(k 4 ) 2

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Express the following fraction in simplest form using only positive exponents.start fraction, 4, left parenthesis, k, to the power 4 , right parenthesis, squared, divided by, 20, k, end fraction20k4(k 4 ) 2 ​

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Upgrade your grade with Knowee

Express the following fraction in simplest form using only positive exponents.start fraction, 4, left parenthesis, k, to the power 4 , right parenthesis, squared, divided by, 20, k, end fraction20k4(k 4 ) 2