Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression 3^–t.

A. What fraction of substance remains after 7 half-lives?

B. After how many half-lives will the fraction be of the original?

Express the product of 3.2 × 10⁶ and 4.1 × 10^–1 in the standard form.

Simplify:

Out of the four options, only one is correct. Write the correct answer.

3^–2 can be written as

Out of the four options, only one is correct. Write the correct answer.

The value of is

Express 16^–2 as a power with the base 2.

Express as a power of a rational number with negative exponent.

(2⁵ ÷ 2⁸) × 2^–7

Fill in the blanks to make the statements true.

By solving (6⁰ – 7⁰) × (6⁰ + 7⁰) we get ________.

Fill in the blanks to make the statements true.

The value of [2^–1 × 3^–1]^–1 is _________.

Fill in the blanks to make the statements true.

The value for (–7)⁶ ÷ 7⁶ is _________.