Algebra -exponents

Front

What is an exponent?

Back

An exponent is a number that shows how many times a base is multiplied by itself.

Front

What is the product of powers rule?

Back

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

Front

What is the power of a power rule?

Back

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

Front

What is the power of a product rule?

Back

When raising a product to a power, raise each factor to the power. For example, (ab)^n = a^n * b^n.

Front

What is the zero exponent rule?

Back

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

Front

What is the value of 2^3?

Back

2^3 = 2 * 2 * 2 = 8.

Front

What is the value of x^4 * x^2?

Back

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

Front

What is the value of (3x)(3x)?

Back

(3x)(3x) = 9x^2.

Front

What is the value of 8x^2 * 6x^3?

Back

8x^2 * 6x^3 = 48x^(2+3) = 48x^5.

Front

What is the value of x^8 * x^5?

Back

x^8 * x^5 = x^(8+5) = x^13.