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Surds and indices Practice Questions & Answers

0 vote

If $0.42\times 100^{k}$ = 42 , then the value of k is

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If $0.42\times 100^{k}$ = 42 , then the value of k is
1). 4
2). 2
3). 1
4). 3

39 vote

If $(2000)^{10}$=$1.024\times 10^{k}$., then the value of k is

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If $(2000)^{10}$=$1.024\times 10^{k}$., then the value of k is
1). 33
2). 30
3). 34
4). 31

0 vote

$(125)^{\frac{2}{3}}\times (625)^{-\frac{1}{4}}$=$5^{x}$ , then the value of x is

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$(125)^{\frac{2}{3}}\times (625)^{-\frac{1}{4}}$=$5^{x}$ , then the value of x is
1). 3
2). 2
3). 0
4). 1

0 vote

$(\frac{8}{125})^{-\frac{4}{3}}$ simplifies to:

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$(\frac{8}{125})^{-\frac{4}{3}}$ simplifies to:
1). $\frac{625}{16}$
2). $\frac{625}{8}$
3). $\frac{625}{32}$
4). $\frac{16}{625}$

0 vote

$(36)^{\frac{1}{6}}$ is equal to :

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$(36)^{\frac{1}{6}}$ is equal to :
1). 1
2). 6
3). $\sqrt{6}$
4). $\sqrt[3]{6}$