Answer: 10:30 a.m. will be the time where there are 64 cells in the bottle
Step-by-step explanation:
<span><span>−1/</span>3</span>m−7=5Add 7 to both sides.<span><span><span><span><span><span><span>−1/</span>3</span></span>m</span>−7</span>+7</span>=<span>5+<span>7</span></span></span><span><span><span>
<span><span>−1/</span>3</span></span>m</span>=12</span>Multiply both sides by 3/(-1).<span><span><span>(<span><span><span>3/<span>−1</span></span></span></span>)</span>*<span>(<span><span><span><span>−1/</span>3</span></span>m</span>)</span></span>=<span><span>(<span><span><span>3/<span>−1</span></span></span></span>)</span>*<span>(12)</span></span></span><span>m=<span>−36</span></span>Answer:<span>m=<span>−36</span></span>
Answer:
5. 2¯⁶ or 1/2⁶
6. 2⁹
Step-by-step explanation:
5. Simplify 2⁴ ÷ 2¹⁰
The above expression can be simplified as follow:
2⁴ ÷ 2¹⁰
Recall
Aⁿ ÷ Aᵐ = Aⁿ¯ᵐ
Thus,
2⁴ ÷ 2¹⁰ = 2⁴ ¯ ¹⁰
2⁴ ÷ 2¹⁰ = 2¯⁶
Recall:
A¯ⁿ = 1/Aⁿ
Thus,
2¯⁶ = 1/2⁶
Therefore,
2⁴ ÷ 2¹⁰ = 2¯⁶ or 1/2⁶
6. Simplify 2³ × (2²)³
2³ × (2²)³ can be simplified as follow:
2³ × (2²)³
Recall
(Aⁿ)ᵐ = Aⁿ*ᵐ
Thus,
(2²)³ = 2²*³
(2²)³ = 2⁶
2³ × (2²)³ = 2³ × 2⁶
Recall
Aⁿ × Aᵐ = Aⁿ⁺ᵐ
2³ × 2⁶ = 2³⁺⁶
2³ × 2⁶ = 2⁹
Therefore,
2³ × (2²)³ = 2⁹
