Simplifying Exponents

Front

Simplify: 2x ( -2x - 3)

Back

-4x² - 6x

Front

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7?

Back

7⁶

Front

Simplify: (12x²y²)² (xy)⁴

Back

144x⁸y⁸

Front

Simplify: (x¹⁴)³

Back

x⁴²

Front

Evaluate the expression using the quotient rule: 3⁴ / 3⁸

Back

1/3⁴

Front

What is the product of powers rule?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the power of a power rule?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/(a^n) (where a ≠ 0).

Front

Simplify: (3x²)³

Back

27x⁶