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Difference between revisions of "1963 TMTA High School Algebra I Contest Problem 9"

(Created page with "== Problem == Combine: <cmath>(-3)^4 - (-3)^3</cmath> <math>\text{(A)} \quad (-3)^{7} \quad \text{(B)} \quad (-3)^{1} \quad \text{(C)} \quad 3^3\cdot 2^2 \quad \text{(D)} \qu...")
 
(No difference)

Latest revision as of 22:57, 1 February 2021

Problem

Combine: \[(-3)^4 - (-3)^3\]

$\text{(A)} \quad (-3)^{7} \quad \text{(B)} \quad (-3)^{1} \quad \text{(C)} \quad 3^3\cdot 2^2 \quad \text{(D)} \quad 54 \quad \text{(E)} 3^1$

Solution

$(-3)^4 - (-3)^3 = (81) -(-27) = 108 = \boxed{\text{(C)} \quad 3^3 \cdot 2^2}$

See Also

1963 TMTA High School Mathematics Contests (Problems)
Preceded by
Problem 8 		TMTA High School Mathematics Contest Past Problems/Solutions Followed by
Problem 10
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