Exponents Power to a Power

Front

What is the power of a power rule in exponents?

Back

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

Front

Simplify: (2x^3y)^6

Back

64x^18y^6

Front

Simplify: (b^3)^8

Back

b^24

Front

Simplify: (3x^4y^5)^2

Back

9x^8y^10

Front

Simplify: (x^5)^4

Back

x^20

Front

Simplify: (3x^3y^5)^4

Back

81x^12y^20

Front

What does it mean to simplify an expression with exponents?

Back

To simplify an expression with exponents means to reduce it to its simplest form, often by applying exponent rules.

Front

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

Back

a^(m+n) - When multiplying like bases, you add the exponents.

Front

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

Back

a^(m-n) - When dividing like bases, you subtract the exponents.

Front

What is the result of a^0?

Back

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