How to find patterns in exponents

Practice Questions

SAT Math › How to find patterns 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 p and q are positive integrers and 27p = 9q, then what is the value of q in terms of p?

3

Simplify 272/3.

4

If and are integers and

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

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

5

$3 ^{x}= 9 ^{y+1}$ .

Express in terms of .

6

Solve for

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

7

Solve for :

$3^{4y-2 } = 27 ^{y}$

8

Solve for :

$4^{3t+ 8} = 8 ^{2t- 11}$

9

$16^{5x-17} = 8^{2y + 1}$

Express in terms of .

10

If $x^7y^8z^{10} < 0$ , then which of the following must also be true?

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