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

The given fraction is:

$$ \frac{10a^2}{(2a^4)^2} $$

First, simplify the denominator:

$$ (2a^4)^2 = 2^2 \cdot (a^4)^2 = 4a^8 $$

Now, the fraction becomes:

$$ \frac{10a^2}{4a^8} $$

Next, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor. In this case, we can divide both the numerator and the denominator by $2a^2$:

$$ \frac{10a^2 \div 2a^2}{4a^8 \div 2a^2} = \frac{5}{2a^6} $$

So, the fraction in simplest form using only positive exponents is:

$$ \frac{5}{2a^6} $$

Question

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

The given fraction is:

$$ \frac{10a^2}{(2a^4)^2} $$

First, simplify the denominator:

$$ (2a^4)^2 = 2^2 \cdot (a^4)^2 = 4a^8 $$

Now, the fraction becomes:

$$ \frac{10a^2}{4a^8} $$

Next, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor. In this case, we can divide both the numerator and the denominator by $2a^2$:

$$ \frac{10a^2 \div 2a^2}{4a^8 \div 2a^2} = \frac{5}{2a^6} $$

So, the fraction in simplest form using only positive exponents is:

$$ \frac{5}{2a^6} $$

Knowee AI · Accepted Answer