3.8 Proficiency exam

( [link] ) In the number $8^5$ , write the names used for the number 8 and the number 5.

( [link] ) Write using exponents. $\text{12}\times \text{12}\times \text{12}\times \text{12}\times \text{12}\times \text{12}\times \text{12}$

( [link] ) Expand $9^4$ .

( [link] ) $4^3$

( [link] ) $1^5$

( [link] ) $0^3$

( [link] ) $2^6$

( [link] ) $\sqrt{\text{49}}$

( [link] ) $\sqrt[3]{\text{27}}$

( [link] ) $\sqrt[8]{1}$

( [link] ) $\text{16}+2\cdot (8-6)$

( [link] ) $5^3-\sqrt{\text{100}}+8\cdot 2-\text{20}÷5$

( [link] ) $3\cdot \frac{8^2-2\cdot 3^2}{5^2-2}\cdot \frac{6^3-4\cdot 5^2}{\text{29}}$

( [link] ) $\frac{\text{20}+2^4}{2^3\cdot 2-5\cdot 2}\cdot \frac{5\cdot 7-\sqrt{\mathrm{81}}}{7+3\cdot 2}$

( [link] ) $\left[{\left(8-3\right)}^2+\left(\text{33}-4\sqrt{\text{49}}\right)\right]-2\left[\left(\text{10}-3^2\right)+9\right]-5$

( [link] ) 18

( [link] ) 68

( [link] ) 142

( [link] ) 151

( [link] ) 468

( [link] ) 200 and 36

( [link] ) 900 and 135

( [link] ) Write all the factors of 36.

( [link] ) Write all the divisors of 18.

( [link] ) Does 7 divide into $5^2\cdot 6^3\cdot 7^4\cdot 8$ ? Explain.

( [link] ) Is 3 a factor of $2^6\cdot 3^2\cdot 5^3\cdot 4^6$ ? Explain.

( [link] ) Does 13 divide into ${\text{11}}^3\cdot {\text{12}}^4\cdot {\text{15}}^2$ ? Explain.

( [link] ) 432 and 180

( [link] ) 28, 40, and 95