Calculate (3×4×5)⁴: Fourth Power of a Triple Product

Be careful with notation! Writing 345 means three hundred forty-five, not 3×4×5. The multiplication symbols matter! You can calculate (3×4×5)⁴ = 60⁴, but 345⁴ is completely different.

Absolutely! The power rule $(a\times b\times c\times d)^n = a^n\times b^n\times c^n\times d^n$ works with any number of factors inside the parentheses.

Yes! Calculate each power separately: $3^4 = 81$, $4^4 = 256$, $5^4 = 625$, then multiply: 81×256×625 = 12,960,000.

If you see $3\times4\times5^4$ (no parentheses), only the 5 gets the exponent: $3\times4\times625 = 7,500$. Parentheses make all the difference!

You can multiply inside first: $(3\times4\times5)^4 = 60^4$, but for multiple choice questions, recognizing the power rule pattern is often faster than calculating the final number.