Exponent Rules Practice

Front

What is the product of two expressions (6x^2) and (-3x^5)?

Back

-18x^7

Front

How do you simplify the expression 1/x^-3 using positive exponents?

Back

x^3

Front

What is the simplified form of the ratio \frac{3x^4y^2}{9xy^6} using positive exponents?

Back

\frac{x^3}{3y^4}

Front

What is the sum of (3x^3y) and (2x^8y^5)?

Back

6x^{11}y^{6}

Front

What is the equivalent expression for 4^{12} \times 7^{12}?

Back

28^{12}

Front

What is the value of x^0?

Back

1 (for any x ≠ 0)

Front

What is the rule for multiplying powers with the same base?

Back

Add the exponents: a^m \times a^n = a^{m+n}

Front

What is the rule for dividing powers with the same base?

Back

Subtract the exponents: a^m ÷ a^n = a^{m-n}

Front

What is the power of a power rule?

Back

Multiply the exponents: (a^m)^n = a^{m*n}

Front

What is the rule for raising a product to a power?

Back

Distribute the exponent: (ab)^n = a^n b^n