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Surds and indices Practice Questions & Answers

2 vote

Solve for x: $3^{x}-3^{x-1}$ = 486.

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Solve for x: $3^{x}-3^{x-1}$ = 486.
1). 7
2). 9
3). 5
4). 6

0 vote

The value of $(3+2\sqrt{2})^{-3}+(3-2\sqrt{2})^{-3}$ is :

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The value of $(3+2\sqrt{2})^{-3}+(3-2\sqrt{2})^{-3}$ is :
1). 198
2). 180
3). 108
4). 189

0 vote

If $5\sqrt{5}\times 5^{3}+5^{-\frac{3}{2}}$=$5^{a+2}$ ,then the value of a is

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If $5\sqrt{5}\times 5^{3}+5^{-\frac{3}{2}}$=$5^{a+2}$ ,then the value of a is
1). 4
2). 5
3). 6
4). 8

0 vote

$4^{61}+4^{62}+4^{63}+4^{64}$ is divisible by

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$4^{61}+4^{62}+4^{63}+4^{64}$ is divisible by
1). 17
2). 3
3). 11
4). 13

0 vote

If $2^{x-1}+2^{x+1}$ = 320, then the value of x is

Asked on by | Votes 0

If $2^{x-1}+2^{x+1}$ = 320, then the value of x is
1). 6
2). 8
3). 5
4). 7