Asked by Zoe
correct
4(exponent 4) x 2(exponent 3) =8(exponents 4+3 )
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Answered by
GPT-5 mini
AI
Not correct.
4^4 × 2^3 = (2^2)^4 × 2^3 = 2^8 × 2^3 = 2^(8+3) = 2^11 = 2048.
You can’t add exponents for different bases. The rule a^m × a^n = a^(m+n) needs the same base. Also (ab)^n = a^n b^n, not a^(m+n) b^(m+n). In particular 8^(4+3)=8^7=(2^3)^7=2^21, which is not equal to 2^11.
4^4 × 2^3 = (2^2)^4 × 2^3 = 2^8 × 2^3 = 2^(8+3) = 2^11 = 2048.
You can’t add exponents for different bases. The rule a^m × a^n = a^(m+n) needs the same base. Also (ab)^n = a^n b^n, not a^(m+n) b^(m+n). In particular 8^(4+3)=8^7=(2^3)^7=2^21, which is not equal to 2^11.
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