The quotient rule for exponents states that bm bn=, b≠0 . When dividing exponential expressions with the same nonzero base, the exponents.

When dividing exponential expressions with the same nonzero base, subtract the exponents.

Exponential functions in indices

According to the quotient law of indices

Based on the law, you can see that the expoenented was subracted since the base are equal.

The same is applicable to . this can be expressed as . This shows that when dividing exponential expressions with the same nonzero base, subtract the exponents.

Learn more on quotient law of indices here: link

The quotient rule for exponents states that .

When dividing exponential expressions with the same nonzero base, subtract the exponents.

Step-by-step explanation:

Some rules to solve exponents are:

The quotient rule for exponents states that:

.

When dividing exponential expressions with the same nonzero base, subtract the exponents.

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)