11/19: Laws of Exponents - 6th pd

Front

What is the quotient rule for exponents?

Back

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

Front

How do you simplify the expression (-7y^2)(5y^4)?

Back

Multiply the coefficients (-7 * 5 = -35) and add the exponents of y (2 + 4 = 6), resulting in -35y^6.

Front

What happens to the exponents when multiplying two expressions with the same base?

Back

You add the exponents.

Front

What is the value of any non-zero number raised to the power of zero?

Back

1.

Front

How do you expand the expression (2ab)^3?

Back

Apply the power to each factor: 2^3 * a^3 * b^3.

Front

What is the product rule for exponents?

Back

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

Front

What is the power of a power rule in exponents?

Back

When raising a power to another power, multiply the exponents.

Front

What is the value of 5^0?

Back

1.

Front

How do you simplify the expression (x^3)(x^4)?

Back

Add the exponents: x^(3+4) = x^7.

Front

What is the result of (a^m)/(a^n)?

Back

Subtract the exponents: a^(m-n).