Simplify and Solve an Algebraic Equation with Exponents and Fractions

Math Problem Statement

Simplify and evaluate the equation: $ \frac{\frac{3}{4} \times 7}{256x} = \frac{4 \cdot 2^{256}}{\left( \frac{1}{256} \right)} $

The image contains a math equation with fractions and powers. Here's a breakdown of the visible elements:

On the left-hand side, we have: $\frac{3}{4} \times \frac{7}{256x}$

On the right-hand side: $4 \times 2^{256} \div \left( \frac{1}{256} \right)$

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Algebra
Exponents
Fractions

Rules of exponents: a^m / a^n = a^(m-n)
Simplification of fractions: a/b * c/d = ac/bd

Exponentiation rules

Grades 9-12

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