Exponents

Front

What is an exponent?

Back

An exponent is a mathematical notation indicating the number of times a number (the base) is multiplied by itself.

Front

What is the base in an exponential expression?

Back

The base is the number that is raised to a power in an exponential expression.

Front

What is the value of any non-zero number raised to the power of 0?

Back

Any non-zero number raised to the power of 0 is equal to 1.

Front

How do you simplify the expression a^m * a^n?

Back

You simplify it by adding the exponents: a^(m+n).

Front

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

Back

The result is a^(m*n), which means you multiply the exponents.

Front

What is the value of 2^3?

Back

The value of 2^3 is 8, since 2 * 2 * 2 = 8.

Front

How do you express the product of the same base with different exponents, such as b^m * b^n?

Back

You express it as b^(m+n).

Front

What is the result of (2^4) * (2^2)?

Back

The result is 2^(4+2) = 2^6 = 64.

Front

How do you simplify the expression c^4 * c^3?

Back

You simplify it to c^(4+3) = c^7.

Front

What is the exponential form of (-2)^5 * (-2)^3 * (-2)?

Back

The exponential form is (-2)^(5+3+1) = (-2)^9.