Answer:
= a⁸/b⁻¹⁰
Step-by-step explanation:
Simplify the expression
(a^2b^-3/a^-2b^2)^2
= a⁴b⁻⁶/a⁻⁴b⁴
Using the law of indices
= a⁴⁻⁽⁻⁴⁾/b⁻⁶⁻⁴
= a⁴⁺⁴/b⁻¹⁰
= a⁸/b⁻¹⁰
9514 1404 393
Answer:
Step-by-step explanation:
To find the initial amount, put 0 where t is in the formula and do the arithmetic.
A(0) = 523(1/2)^0 = 523(1) = 523
The initial amount is 523 grams.
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To find the amount remaining after 100 years, put 100 where t is in the formula and do the arithmetic.
A(100) = 523(1/2)^(100/30) ≈ 523(0.0992123) ≈ 52
About 52 grams will remain after 100 years.
Answer:
Step-by-step explanation:20