Simplify x² × x⁵. Write the exponent of x in the answer.

7. When multiplying powers of the same base, add exponents: x² × x⁵ = x^(2+5) = x⁷. The exponent is 7.

Simplify $x^{2} \times x^{5}$ . Write the exponent of $x$ in the answer.

Class 8Algebraic Expressions and IdentitiesAlgebra

When multiplying powers of the same base, add exponents:

x^{2} \times x^{5} = x^{2 + 5} = x^{7}

. The exponent is 7.

Answer: A) 7

Use the distributive property — multiply the monomial by EVERY term in the polynomial.

Example:

3 x \times (4 x^{2} - 5 x + 2) = 12 x^{3} - 15 x^{2} + 6 x

.

When multiplying powers of the same variable: **add the exponents**.

x^{2} \times x^{3} = x^{5}

Don't just memorise the answer — build a daily practice habit.