What is the simplified form of the expression \frac{a^3 \times a^4}{a^2}? — JAMB UTME

What is the simplified form of the expression $\frac{a^3 \times a^4}{a^2}$ ?

The simplified expression is

a^5

Combining terms with the same base using the product law gives

a^{3+4} = a^7

in the numerator. Next, dividing by

a^2

using the quotient law yields

a^{7-2} = a^5

Simplify the numerator using the product law of indices

a^3 \times a^4 = a^{3+4} = a^7

When multiplying terms with the same base, add their exponents.

Divide by the denominator using the quotient law of indices

\frac{a^7}{a^2} = a^{7-2} = a^5

When dividing terms with the same base, subtract the exponent of the denominator from the exponent of the numerator.

Laws of Indices (Product and Quotient Rules)

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