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SubjectsMathematics
TOPIC PRACTICE
Up to 3 questions from this page. Select your focus, then start.
When powers have the same non-zero base, their exponents are subtracted: \(a^m/a^n=a^{m-n}\). Option A is the multiplication rule. Exam tip: a division sign signals subtraction of exponents.
View question detailsWhen powers with the same base are divided, their exponents are subtracted: \(\frac{x^m}{x^n}=x^{m-n}\). Therefore, \(\frac{x^6}{x^2}=x^{6-2}=x^4\). In option B, the exponents have been added, which is the rule for multiplication, not division. Exam tip: subtract exponents in division and add them in multiplication when the bases are the same.
View question detailsBy the laws of exponents, the zero power of any non-zero number or variable is 1. Therefore, \(x^0=1\) for \(x\ne 0\). Option C is incorrect because it represents the base \(x\), not the value of its zero power. Exam tip: the zero power of every non-zero base is always 1.
View question detailsQUIZ COMPLETE
