Question

Solve the following problems. 3 1) Simplify: (a) = 0) a4 x b5xc? 2) Simplify: csx a4 x 53​

Answer 1

$\longrightarrow{\green{}}$ $\frac{ {a}^{4} \times {b}^{5} \times {c}^{7} }{ {c}^{8} \times {a}^{4} \times {b}^{3} }$

$\longrightarrow{\green{}}$ $\frac{ {a}^{4} }{ {a}^{4} } \times \frac{ {b}^{5} }{ {b}^{3} } \times \frac{ {c}^{7} }{ {c}^{8} }$

$\longrightarrow{\green{}}$ ${a}^{(4 - 4)} \times {b}^{(5 - 3)} \times {c}^{(7 - 8)}$

$\longrightarrow{\green{}}$ ${a}^{0} \times {b}^{2} \times {c}^{ - 1}$

$\longrightarrow{\green{}}$ $1 \times {b}^{2} \times {c}^{ - 1}$

$\longrightarrow{\green{}}$ $\frac{ {b}^{2} }{c}$

Note:

$\bigstar \: \boxed{\sf{\color{cyan}{}}}$ $\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$

$\bigstar \: \boxed{\sf{\color{cyan}{}}}$ Any number to the power $0$ is always $1$.

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