Difference between revisions of "1963 TMTA High School Algebra I Contest Problem 10"
Coolmath34 (talk | contribs) (Created page with "== Problem == Which of the following is true? <math>\text{(A)} \quad a^3a^4 = (a^3)^7</math> <math>\text{(B)} \quad a^3 + a^4 = a^7</math> <math>\text{(C)} \quad \frac{(a+b...") |
Coolmath34 (talk | contribs) (→Problem) |
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<math>\text{(D)} \quad a^3a^4 = a^12</math> | <math>\text{(D)} \quad a^3a^4 = a^12</math> | ||
− | <math>\text{(E)} \quad | + | <math>\text{(E)} \quad \frac{(ab)^3}{a^3} = b^3</math> |
== Solution == | == Solution == | ||
− | Reviewing the rules of exponents, we see that A, B, and E are false. Expanding C and E, we find that < | + | Reviewing the rules of exponents, we see that A, B, and E are false. Expanding C and E, we find that <math>\boxed{\text{(E)}}</math> is true. |
+ | |||
== See Also == | == See Also == | ||
{{Succession box | {{Succession box |
Latest revision as of 23:06, 1 February 2021
Problem
Which of the following is true?
Solution
Reviewing the rules of exponents, we see that A, B, and E are false. Expanding C and E, we find that is true.
See Also
1963 TMTA High School Mathematics Contests (Problems) | ||
Preceded by Problem 9 |
TMTA High School Mathematics Contest Past Problems/Solutions | Followed by Problem 11 |