SOLUTION: Without grouping symbols, the expression{{{2x3^3+4}}}has a value of 58. Insert grouping symbols in the expression 2x3^3+4 to produce the indicated values, a.62 b.220 c.4374 d.279,

Question 152418This question is from textbook algebra1
: Without grouping symbols, the expressionhas a value of 58. Insert grouping symbols in the expression 2x3^3+4 to produce the indicated values,
a.62 b.220 c.4374 d.279,936 This question is from textbook algebra1

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Start with:
.
2*3^3+7
.
Given example grouping:
.
2*(3^3)+ 4 = 2*(27) + 4 = 54 + 4 = 58 which is the example the problem gave without grouping
.
Next grouping:
.
2(3^3 + 4) = 2(27 + 4) = 2(31) = 62 <=== answer to part a
.
Next grouping:
.
(2*3)^3 + 4 = 6^3 + 4 = 216 + 4 = 220 <=== answer for part b
.
Next grouping:
.
2*(3^(3+4)) = 2*(3^7) = 2*2187 = 4374 <=== answer for part c
.
Final grouping:
.
(2*3)^(3+4) = (6)^(3+4) = 6^7 = 279,936 <=== answer for part d
.
Hope this helps you to understand the concept of grouping. The rules of grouping basically
involve:
.
I. First due the operations inside parentheses. Inside each set of parentheses follow rules
II, III, and IV below.
II. Second do the exponents
III. Then do the multiplications and divisions from left to right as you encounter them.
IV. Finally do the additions and subtractions in order from left to right as you encounter them.
.
It just takes some practice to get the hang of it.

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