Question

Rewrite the expression as a product of identical factors to find the product for 6432
.

Hint: You can use your calculator :)

Answer 1

I’m not sure how to read "6432" — do you mean the number 6432, or the power 64^32, or 6^432? Could you confirm?

If you meant 64^32, here are useful rewrites as a product of identical factors:
- 64^32 is already a product of 32 identical factors: 64 · 64 · … · 64 (32 times).
- Write the base as a power: 64 = 8^2, so 64^32 = (8^2)^32 = 8^64 — a product of 64 identical factors of 8.
- Or 64 = 2^6, so 64^32 = (2^6)^32 = 2^192 — a product of 192 identical factors of 2.

If you meant 6^432:
- 6^432 is a product of 432 identical factors of 6.
- Also 6^432 = (6^3)^144 = 216^144, and since 6 = 2·3, 6^432 = 2^432 · 3^432.

If you meant the integer 6432 and want its prime factorization:
- 6432 = 2^5 · 3 · 67 (i.e., 2·2·2·2·2·3·67).

Tell me which one you intended and whether you want the exact numeric value — I can give it (or show how to get it on a calculator).