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1. Use the order of operations to simplify the following expression.
16 × (14 - 6) × 3 - [tex]6^2[/tex] ÷ 6

Respuesta :

16 × (14 - 6) × 3 - 6^2 ÷ 6

parenthesis first

16 × (8) × 3 - 6^2 ÷ 6

exponents next

16 × (8) × 3 - 36 ÷ 6

multiplication and division from left to right

128 *3 -36 ÷ 6

384 -36 ÷ 6

384 -6

378

Answer by JKismyhusbandbae:

[tex]Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:within\:parentheses}\:\left(14-6\right)\::\quad 8\\=16\times \:8\times \:3-6^2\div \:6\\\mathrm{Calculate\:exponents}\:6^2\::\quad 36\\=16\times \:8\times \:3-36\div \:6\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:16\times \:8\times \:3\::\quad 384\\=384-36\div \:6\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:36\div \:6\::\quad 6\\=384-6\\[/tex]

[tex]\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:384-6\::\quad 378\\=378[/tex]