Subject: Mathematics
Book: Maths Mastery
Exponents, or powers, indicate repeated multiplication of a base number. Key laws include Product of Powers (a^m × a^n = a^(m+n)) and Power of a Power ((a^m)^n = a^(m×n)). For example, 2² × 2³ = 2^(2+3) = 2^5 = 32. Negative exponents a^–n represent 1/(a^n). Mastering exponents is vital in scientific notation, compound interest, and growth/decay problems. By consistently applying exponent laws, you can simplify expressions, solve exponential equations, and interpret phenomena like population growth or radioactive decay with ease.
What is the sum of all even numbers between 1 and 100?
View QuestionWhat is the area of a sector of a circle with radius 14 cm and central angle 90°?
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View QuestionIf x + 1/x = 5, what is the value of x^2 + 1/x^2?
View QuestionWhat is the probability of drawing a king from a standard deck of 52 playing cards?
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View QuestionThe sum of the squares of two consecutive integers is 145. What are the integers?
View QuestionA number is increased by 20% and then decreased by 10%. What is the net change?
View QuestionThe perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?
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