Indices (AQA GCSE Further Maths): Quizzes

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Indices
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In the expression x5x^5, what is the number 5 called?

The index

Simplify a4imesa7a^4 imes a^7

a11a^{11}

Simplify x9divx5x^9 div x^5

x4x^4

Simplify (y3)4(y^3)^4

y12y^{12}

What is the value of 707^0?

11

What does a3a^{-3} equal?

rac{1}{a^3}

What does x1/5x^{1/5} represent?

sqrt[5]xsqrt[5]{x}

Simplify rac{x^5 imes x^2}{x^4}

x3x^3

Express (x6)1/3(x^6)^{1/3} as a single power of xx

x2x^2

To solve x45x2+4=0x^4 - 5x^2 + 4 = 0, what substitution transforms it to quadratic form?

y=x2y = x^2

Which statement is correct about 4x4^x?

4x=(2x)24^x = (2^x)^2

Which expression is always positive?

2x2^x

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