Pattern Behaviors in Exponents

Practice Questions

PSAT Math › Pattern Behaviors in Exponents

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1

If is the complex number such that , evaluate the following expression:

$i^{25}-i^{23}+i^{21}-i^{19}+i^{17}-i^{15}.\ .\ .+i$

2

If is the complex number such that , evaluate the following expression:

$i^{25}-i^{23}+i^{21}-i^{19}+i^{17}-i^{15}.\ .\ .+i$

3

Simplify 272/3.

4

If p and q are positive integrers and 27p = 9q, then what is the value of q in terms of p?

5

Simplify 272/3.

6

If p and q are positive integrers and 27p = 9q, then what is the value of q in terms of p?

7

If and are integers and

$\left ( \frac{1}{3} \right )^{a}=27^{b}$

what is the value of $a\div b$ ?

8

If and are integers and

$\left ( \frac{1}{3} \right )^{a}=27^{b}$

what is the value of $a\div b$ ?

9

Solve for

$\left ( \frac{2}{3} \right )^{x+1} = \frac{27}{8}$

10

Solve for

$\left ( \frac{2}{3} \right )^{x+1} = \frac{27}{8}$

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