Question

a =2⁷.3⁸.7 b =2⁵.3⁵
$a =2⁷.3⁸.7 b =2⁵.3⁵$
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Answer 1

Resposta:

1. $x^6$

2. $8$

3. $5^{30}$

4. $25$

5. $252$

Explicação passo a passo:

1. $\frac{x^4x^6x^8}{x^2x^4x^6}=\frac{x^6x^8}{x^2x^6}=\frac{x^8}{x^2}=x^6$

2. $\left(2^6\div \:2^4\right)+2^2=4+2^2=4+4=8$

3. $\frac{\left(5^2\cdot \:5^4\right)^6}{\left(\frac{5^{10}}{5^8}\right)^3}=\frac{\left(5^2\cdot \:5^4\right)^6}{15625}=\frac{5^{12}\cdot \:5^{24}}{15625}=\frac{5^{12}\cdot \:5^{24}}{5^6}=5^6\cdot \:5^{24}=5^{30}$

4. $5^2-3^2+500^0-\left(-2\right)^3=25-3^2+500^0-\left(-2\right)^3=25-9+500^0-\left(-2\right)^3=25-9+1-\left(-2\right)^3=25-9+1-\left(-8\right)=25$

5. $\frac{a}{b}=\frac{2^7\cdot \:3^8\cdot \:7}{2^5\cdot \:3^6}=\frac{2^2\cdot \:3^8\cdot \:7}{3^6}=2^2\cdot \:3^2\cdot \:7=252$