Simplifying Negative Exponents

Front

What is a negative exponent?

Back

A negative exponent indicates that the base should be taken as the reciprocal and raised to the opposite positive exponent.

Front

How do you convert a negative exponent to a positive exponent?

Back

To convert a negative exponent to a positive exponent, take the reciprocal of the base and change the sign of the exponent.

Front

What is the expression for 11^-7 using positive exponents?

Back

1/11^7

Front

What is the expression for 8^-5 using positive exponents?

Back

1/8^5

Front

What is the expression for 8^-8 using positive exponents?

Back

1/8^8

Front

What is the expression for 5^-3 using positive exponents?

Back

1/5^3

Front

What is the expression for 3^-2 using positive exponents?

Back

1/3^2

Front

If a^(-n) = 1/(a^n), what does this imply about negative exponents?

Back

It implies that negative exponents represent the reciprocal of the base raised to the positive exponent.

Front

What is the value of 2^-3?

Back

1/(2^3) = 1/8

Front

What is the value of 10^-1?

Back

1/(10^1) = 1/10