Answer:
1. A.
2. B.
3. A.
4. C.
5.
Step-by-step explanation:
1.
[tex]15625 = {5}^{x + 3} \\ 15625 = {5}^{x}( {5}^{3} ) \\ 15625 = {5}^{x} (125) \\ \frac{15625}{125} = \frac{ {5}^{x} (125)}{125} \\ 125 = {5}^{x} \\ {5}^{3} = {5}^{x} \\ x = 3[/tex]
[tex] \frac{ {(x +y)}^{2} }{(x + y) ^{3} } \times \frac{ {(x + y)}^{5} }{ {(x + y)}^{6} } \times \frac{ {(x + y)}^{9} }{ {(x + y)}^{10} } \\ \frac{1}{(x +y) } \times \frac{1}{(x +y) } \times \frac{1}{(x +y) } \\ \frac{1}{ { (x +y)}^{3} } [/tex]
[tex]729 = {9}^{3x} \\ 729 = {( {9}^{x} )}^{3} \\ \sqrt[3]{729} = \sqrt[3]{({9}^{x} )^{3} } \\ 9 = {9}^{x} \\ x= 1[/tex]
For number 4, count how many 3's there are. That's the exponent.
And for number 5, I'll try to answer it on paper
