We read your photo as:

Simplify: a2 b3 / 2c * ac2 / 2b ÷ b2c / 2a

July 11, 2026Mathematics

ScanSolve AI Answer

Answer

\frac{a^4}{2b^2}

3 steps

To simplify the expression, we will first convert the division into multiplication by taking the reciprocal of the third fraction.

Rewrite the expression by changing division to multiplication.
$\frac{a^2 b}{2c} \times \frac{ac^2}{2b} \div \frac{b^2 c}{2a} = \frac{a^2 b}{2c} \times \frac{ac^2}{2b} \times \frac{2a}{b^2 c}$
Multiply the numerators and the denominators.
$\frac{(a^2 b)(ac^2)(2a)}{(2c)(2b)(b^2 c)} = \frac{2 \cdot a^{2+1+1} \cdot b \cdot c^2}{2 \cdot 2 \cdot b \cdot b^2 \cdot c \cdot c}$ $= \frac{2a^4 b c^2}{4b^3 c^2}$
Simplify the resulting fraction by canceling common terms.
$\frac{2a^4 b c^2}{4b^3 c^2} = \frac{2}{4} \cdot a^4 \cdot \frac{b}{b^3} \cdot \frac{c^2}{c^2}$ $= \frac{1}{2} \cdot a^4 \cdot \frac{1}{b^{3-1}} \cdot 1$ $= \frac{1}{2} \cdot a^4 \cdot \frac{1}{b^2}$ $= \boxed{\frac{a^4}{2b^2}}$

Was this helpful?

A new problem that tests the same skill.

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

Browse by topic:Algebra

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.