11/22 Online HW

Front

What is the power of a power rule in exponents?

Back

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

Front

Simplify: (8^5)^3

Back

8^15

Front

What is the product of powers rule in exponents?

Back

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

Front

Simplify: 4^5 x 4

Back

4^6

Front

What is the quotient of powers rule in exponents?

Back

When dividing two powers with the same base, subtract the exponents. For example, a^m / a^n = a^(m-n).

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, making it easier to understand or solve.

Front

True or False: (a^m)^n = a^(m+n)

Back

False. The correct rule is (a^m)^n = a^(m*n).

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one. For example, a^0 = 1.

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, a^(-n) = 1/(a^n).

Front

Simplify: 7^2 x 7^4

Back

7^6