The answer is: 0 . (zero).
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Explanation:
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How to solve, or rather, "simplify":
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→ Remember the "order of operations" :
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→ BE MD AS ; or:
→ Brackets, then Exponents; Followed by multiplication then division
(in that order); followed by addition then subtraction (in that order).
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So, we start with our given expression
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→ 1/2³ *(-32+8) − (-3)³ ÷ 9 ;
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We can simplify the expression in "parentheses" (or, "brackets"):
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→ (-32+8) = -24 ;
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Then, come the exponents:
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1) Simplify: 2³ ; → 2³ = 2* 2 *2 = 8 ;
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2) Simplify the number in parentheses, raised to an exponent value:
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→ (-3)³ = -3 * -3 * -3 = -27
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Now, rewrite the expression:
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→ (1/8)* (-24) − (-27) ÷ 9 ;
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→ Remember in our mnemonic: "BE MD AS" ;
that multiplication, followed by division; come before addition followed by subtraction.
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We have:
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→ (1/8)* (-24) − (-27) ÷ 9 ;
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We start with the multiplication:
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→ (1/8)* (-24) = -24 ÷ 8 = -3 ;
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We then do the division:
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→ (-27) ÷ 9 = -3 ;
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Now, we are left we the subtraction.
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→ Rewrite the expression as:
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→ -3 − (-3) ; and simplify further:
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→ -3 − (-3) = -3 + 3 ; (since subtracting a negative number is the same value as adding a positive) ;
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→ -3 − (-3) = -3 + 3 = 0.
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→ The answer is: 0 . (zero).
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