Properties of Exponents

Front

What happens to the exponents when we multiply expressions with the same base?

Back

We add the exponents.

Front

True or False: In order to multiply powers with the same base, we add their exponents.

Back

True.

Front

What happens to the exponents when we raise a power to another exponent?

Back

We multiply the exponents.

Front

Calculate: (t^-6)^-5

Back

t^30

Front

What is the value of x^0 for any non-zero x?

Back

1.

Front

What is the result of multiplying x^3 and x^4?

Back

x^7 (we add the exponents).

Front

What is the result of dividing x^5 by x^2?

Back

x^3 (we subtract the exponents).

Front

Calculate: (2^3)^2

Back

2^6 (we multiply the exponents).

Front

What is the value of -4x^0?

Back

-4 (since x^0 = 1).

Front

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

Back

a^(m+n) (we add the exponents).