Simplifying Exponents Practice

Front

What is the rule for converting a negative exponent to a positive exponent?

Back

To convert a negative exponent to a positive exponent, take the reciprocal of the base raised to the positive exponent.

Front

Simplify the expression: 9^-3.

Back

1/9³

Front

What is the result of multiplying two expressions with the same base?

Back

When multiplying two expressions with the same base, you add the exponents.

Front

Simplify the expression: (3m²)²(-4n⁵)² / (8m³n⁴).

Back

18mn⁶

Front

What is the result of simplifying the expression: (-4r⁵)(2r⁸)?

Back

-8r¹³

Front

What is the power of a product rule in exponents?

Back

The power of a product rule states that (ab)ⁿ = aⁿbⁿ.

Front

What is the power of a quotient rule in exponents?

Back

The power of a quotient rule states that (a/b)ⁿ = aⁿ/bⁿ.

Front

What happens when you raise a power to another power?

Back

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

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one: a⁰ = 1.

Front

How do you simplify the expression: 8x² * 4x⁴?

Back

You multiply the coefficients and add the exponents: 32x⁶.