Laws of Exponents - Product Rule

Front

What is the Product Rule of Exponents?

Back

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

Front

Which expression is in expanded form?

Back

5x5x5

Front

Write the product as a power: (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2)

Back

(-2)^5

Front

Simplify the following expression: (-xy^3)⋅(2x^3y)

Back

-2x^4y^4

Front

According to exponent rules, when we multiply the same base we _______ the exponents.

Back

Add

Front

Which number is the BASE in 2^3 = 8?

Back

2

Front

What does it mean to raise a number to a power?

Back

Raising a number to a power means multiplying the number by itself a certain number of times. For example, 3^4 = 3 * 3 * 3 * 3.

Front

If a^0 = 1, what can we say about any non-zero number raised to the power of zero?

Back

Any non-zero number raised to the power of zero equals 1.

Front

What is the result of multiplying 5^2 and 5^3 using the Product Rule?

Back

5^(2+3) = 5^5.

Front

How do you express the product of x^4 and x^2 as a power?

Back

x^(4+2) = x^6.