Question

Help please
9. Is 23.32 = 65? Explain.
Type here
TS

Answer 1

Explanation:

no because they just added they exponents together. 6^5 is like saying 6 multiplied by itself 5 different times. same with the other numbers. if you switch the exponents around and multiply at different times it's like multiplying different numbers, because 2^3 is multiplying 2 by itself 3 individual times. if you move the exponent to the 6, you are multiplying a completely different number by its own self, so the two different methods cannot be congruent.

(I'm sorry I hope that made sense)

also you can just check with the calculator, this is just an explanation on why it will show up like that on the calculator

Answer 2

No, because 2^3 × 3^2 is equivalent to 72 which is a much smaller number than 6^5 which is equal to 7,776.

Explanation:

2^3 × 3^2 = 6^5 ??

Use PEMDAS:

(2 × 2 × 2) × (3 × 3) = 6 × 6 × 6 × 6 × 6

(4 × 2) × 9 = 36 × 6 × 6 × 6

8 × 9 = 216 × 6 × 6

72 = 1,296 × 6

72 = 7,776