INTERMEDIATE ALGEBRA
1. (5x7y-4)-1
Sol:
= (5x7y-4)-1
Exponent rule a-b = 1/ ab
= 1/(5x7y-4)1
Simplify
= 1/(5x7/y4)
Fraction rule 1/(a/b) = b/a
= y4/5x7
12. (2-7x-7)-1
Sol:
= (1/27x7)-1
Exponent rule a-b = 1/ ab
= (1/128x7)-1
Exponent rule a-b = 1/ ab
= 128x7
3). 5x3 + 7(2x3 – 5x2 + 3)
Sol:
Simplification
= 5x3 + 7(2x3 – 5x2 + 3)
= 5x3 + 14x3 – 35x2 + 7*3
= 5x3 + 14x3 – 35x2 + 21
= 19x3 – 35x2 + 21
1
INTERMEDIATE ALGEBRA
4). Log6(12) + Log6(8)
Sol:
Log rule = loga(x) + loga(y) = loga(xy)
= log6(12* 8)
Multiply 12 * 8 = 96
= log696
2