Simplify the Expression: (7²x²)/a² Algebraic Fraction

Let's solve the problem step by step:

We start with the expression:

$\frac{7^2 \times x^2}{a^2}$.

Recognizing the terms in the expression, we notice that:

• $7^2$ is the square of $7$.
• $x^2$ is the square of $x$.
• $a^2$ is the square of $a$.

Using one of the properties of exponents, we know that:

$\frac{b^m \times c^m}{d^m} = \left(\frac{b \times c}{d}\right)^m$.

Thus, we can rewrite our given expression:

$\frac{7^2 \times x^2}{a^2}$ can be rewritten as $\left(\frac{7 \times x}{a}\right)^2$.

This conversion works because the squares in the numerator and the denominator allow us to apply the rule of powers over fractions.

The equivalent expression is therefore $\left(\frac{7 \times x}{a}\right)^2$.