Practice Problems (Junior Cert Mathematics): Flashcards

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Practice Problems
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1st law of indices formula

am×an=am+na^m \times a^n = a^{m+n}

1st law: multiply same base

Add the exponents

2nd law of indices formula

aman=amn\frac{a^m}{a^n} = a^{m-n}

2nd law: divide same base

Subtract the exponents

3rd law of indices formula

(am)n=am×n(a^m)^n = a^{m \times n}

3rd law: power to a power

Multiply the exponents

Simplify: 23×242^3 \times 2^4

272^7

Simplify: 5652\frac{5^6}{5^2}

545^4

Simplify: (32)3(3^2)^3

363^6

Solve: 4x=644^x = 64

x=3x = 3

Solve: 2x+1=162^{x+1} = 16

x=3x = 3

If am=ana^m = a^n (same base)

m=nm = n

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