Question

exponents maze
find your way through the maze by moving through the circles with correct answers.
start
finish
4² = 16
3³ = 27
6² = 12
10³ = 1,000
5² = 25
9² = 81
7⁴ = 401
8³ = 512
8² = 64
5³ = 16
6³ = 216
9³ = 27
2⁶ = 64
1⁷ = 7
10² = 100
9⁰ = 0
3⁴ = 72
6⁰ = 1
12² = 144
4⁴ = 264

Explanation:

Step1: Recall exponent - calculation rule

For \(a^n=a\times a\times\cdots\times a\) (\(n\) times).

Step2: Check each circle

• \(4^2 = 4\times4=16\) (correct).
• \(3^3=3\times3\times3 = 27\) (correct).
• \(6^2=6\times6 = 36

eq12\) (incorrect).

• \(10^3=10\times10\times10 = 1000\) (correct).
• \(5^2=5\times5 = 25\) (correct).
• \(9^2=9\times9 = 81\) (correct).
• \(7^4=7\times7\times7\times7=2401

eq401\) (incorrect).

• \(8^3=8\times8\times8 = 512\) (correct).
• \(8^2=8\times8 = 64\) (correct).
• \(5^3=5\times5\times5 = 125

eq16\) (incorrect).

• \(6^3=6\times6\times6 = 216\) (correct).
• \(9^3=9\times9\times9 = 729

eq27\) (incorrect).

• \(2^6=2\times2\times2\times2\times2\times2 = 64\) (correct).
• \(1^7=1\times1\times1\times1\times1\times1\times1 = 1

eq7\) (incorrect).

• \(10^2=10\times10 = 100\) (correct).
• \(9^0 = 1

eq0\) (incorrect).

• \(3^4=3\times3\times3\times3 = 81

eq72\) (incorrect).

• \(6^0=1\) (correct).
• \(12^2=12\times12 = 144\) (correct).
• \(4^4=4\times4\times4\times4 = 256

eq264\) (incorrect).

Answer:

The correct - answer path: Start \(\to4^2 = 16\to3^3 = 27\to5^2 = 25\to9^2 = 81\to8^3 = 512\to6^3 = 216\to10^2 = 100\to6^0 = 1\to12^2 = 144\to\) Finish.