Revision of Exponent Laws (Grade 10 NSC Matric Mathematics): Quizzes

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Revision of Exponent Laws
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When multiplying am×ana^m \times a^n with the same base, what do you do with the exponents?

Add them: am+na^{m+n}

What is the value of (3x)0(3x)^0 where x≠0x \neq 0?

11

What is 2−42^{-4} equal to?

116\frac{1}{16}

Simplify x7x3\frac{x^7}{x^3} using the quotient law.

x4x^4

Simplify (a3)4(a^3)^4 using the power of a power law.

a12a^{12}

What is (2b)3(2b)^3 equal to?

8b38b^3

What is 15−x\frac{1}{5^{-x}} equal to?

5x5^x

Is 23×32=652^3 \times 3^2 = 6^5 a correct application of exponent laws?

No, bases must be same

Simplify 23x×24x2^{3x} \times 2^{4x} using the product law.

27x2^{7x}

Simplify 9x−13x+1\frac{9^x - 1}{3^x + 1} recognising that 9x=(3x)29^x = (3^x)^2.

3x−13^x - 1

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