Question

2 questions in one. Help?..

Answer 1

Answer:

2. 3

3. 4^45

Step-by-step explanation:

${ ({5}^{4} ) }^{m} = {5}^{12} \\ = > {5}^{4m} = {5}^{12} \\ = > 4m = 12 \\ = > m = \frac{12}{4} \\ = > m = 3 \\ \\ number \: of \: books \: at \: library \\ = {({4}^{9})}^{5} \times {4}^{0} \\ = {4}^{45} \times 1 \\ = {4}^{45}$

Answer 2

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$3.$

$4^{45}$

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Apply exponent rules:

$4m=12$

Solve: $4m=12: m=3$

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$m=3$

Apply rule: $a^{0} =1, a\neq 0$

$4^{0} =1$

$= 4^{45}. ~1$

Multiply: $4^{45} . 1 = 4^{45}$

$=4^{45}$

$\boxed{ANSWER~:\;}$

$=4^{45}$

Hope It Helps. . .

#LearnWithBrainly

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