Indices — definition?
Numbers showing how many times to multiply a base.
Indices — what do they represent?
Number of times the base is multiplied by itself.
Laws of indices — purpose?
Simplify and manipulate exponential expressions efficiently.
Base number — definition?
Number before the exponent in an exponential expression.
Product law of indices — example?
a^m × a^n = a^(m + n)
Quotient law — purpose?
Subtract exponents when dividing same base expressions.
Power of a power rule — formula?
(a^m)^n = a^(m × n)
Zero exponent rule — outcome?
a^0 = 1, for a ≠ 0.
Simplifying indices — essential skill?
Apply laws to manipulate exponential expressions efficiently.
Test your knowledge with 5 questions on Mastering Indices and Exponential Expressions.
1. How does an index differ from a base number in the context of powers?
2. What does an index (or exponent) indicate in an expression involving indices?
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