Chapter 10 Exponents and Scientific Notation

Front

What is the product of two powers with the same base?

Back

When multiplying two powers with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

What is the power of a power rule in exponents?

Back

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

Front

How do you simplify the expression (x^4)^12?

Back

Using the power of a power rule, (x^4)^12 = x^(4*12) = x^48.

Front

What is the value of 24^8 raised to the power of 5?

Back

Using the power of a power rule, (24^8)^5 = 24^(8*5) = 24^40.

Front

How do you express 1 microgram in grams?

Back

1 microgram is equal to 1 x 10^-6 grams.

Front

How many grams are in 1 x 10^2 grams compared to a microgram?

Back

1 x 10^2 grams is 1 x 10^8 times greater than a microgram.

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers as a product of a number between 1 and 10 and a power of 10.

Front

How do you multiply numbers in scientific notation?

Back

To multiply numbers in scientific notation, multiply the coefficients and add the exponents: (a x 10^m) * (b x 10^n) = (a*b) x 10^(m+n).

Front

What is the result of 3 x 10^8 multiplied by 4 x 10^1?

Back

The result is 12 x 10^9, which can be expressed as 1.2 x 10^10.

Front

What is the quotient of two powers with the same base?

Back

When dividing two powers with the same base, you subtract the exponents: a^m / a^n = a^(m-n).