Multiplying Exponents

Front

What is the rule for multiplying exponents with the same base?

Back

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

Front

How do you simplify a negative exponent?

Back

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

Front

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

Back

Any non-zero number raised to the power of zero is equal to 1. For example, 10^0 = 1.

Front

How do you simplify the expression (a^m)^n?

Back

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

Front

What is the product of 2^3 and 2^2?

Back

Using the rule of adding exponents, 2^3 * 2^2 = 2^(3+2) = 2^5.

Front

What is the result of multiplying a number by itself raised to a power?

Back

When multiplying a number by itself raised to a power, add the exponents. For example, 3 * 3^2 = 3^(1+2) = 3^3.

Front

What happens when you multiply a number by 1?

Back

Multiplying any number by 1 does not change its value. For example, 5 * 1 = 5.

Front

How do you simplify the expression 4x^2 * 3x?

Back

Multiply the coefficients and add the exponents of like bases: 4 * 3 = 12 and x^2 * x^1 = x^(2+1) = x^3, so the result is 12x^3.

Front

What is the value of (34x^5y^6z^(-7))^0?

Back

Any expression raised to the power of zero is equal to 1, so (34x^5y^6z^(-7))^0 = 1.

Front

What is the equivalent of 10^0?

Back

10^0 is equivalent to 1.