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第四章:部分分式 Partial Fraction

第六章:角的形成及单位 Angles and Measurements

第十三章: 方程组 Simultaneous Equations

第十五章:二元一次不等式及线性规划 linear inequality in two variables and linear programming

17.1 指数 Indices

17.1 Indices 指数


 

1.

If x + x ^{-1} = 4, find the value of x^3 + x – 3.
若x + x ^{-1} = 4, 求 x^3 + x – 3 的值

Answer:
52
2.

Solve the following simultaneous equations :
解下列联立方程式

5^{2x} . 125^{y - 1} = 1
9^{x + 1} = 81 . 27^x

Answer:
–2,

\frac{7}{3}

3.

Given that 4^x8^y =1 and \frac{27^{y+2}}{9^x}=9 , find the values of x and y.

已知4^x8^y =1\frac{27^{y+2}}{9^x}=9 , 求 x 和 y的值.

Answer:
1, -\frac{2}{3}
4.

Given that 3^a = 4^b = 12^c. State c in terms of a and b.

已知3^a = 4^b = 12^c. State c in terms of a and b.

Answer:
c = \frac{ab}{a+b}