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3 years ago

How to simplify [(-3)^2]^5?

Mathematics

2 answers:

Elenna [48]3 years ago

8 0

First, solve the bracket:

(-3)^2 = (-3)(-3) = 9

Next, simplify

[9]^5 = 9 x 9 x 9 x 9 x 9 = 59049

59049 is your answer

hope this helps

IceJOKER [234]3 years ago

7 0

Hey there!!

[ ( - 3 ) ² ] ⁵

( - 3 )² = 9

9⁵ = 3¹⁰

= 59049

Hope helps!

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8. Is the following statement true or false? Justify your conclusion. If a and b are nonnegative real numbers and a + b =0, then

atroni [7]

Answer:

If $a + b = 0$ then $a = 0$ and $b =0$

a | b | a + b (answer)

0 | 0 | 0

0 | 1 | 1

0 | 2 | 2

1 | 0 | 1

2 | 0 | 2

1 | 1 | 2

2 | 1 | 3

Step-by-step explanation:

Considering the following conditions for the real numbers:

$a\geq 0\\b\geq 0$

Following the rules of these in-equations, it is possible to deduce:

$a + b \geq 0$

Then, if the proposed statement is:

$a + b = 0$

The conditions above shall comply the requirements established, but first, analyzing the statement:

If $a \geq 0$ and $b \geq 0$ then $a + b \geq a$ , $a + b \geq b$ and $a + b \geq 0$ .

If $a = 0$ and b a non negative real number, then $a + b \geq b$ , but because to $a = 0$ , then $a + b = b$ . Due to the commutative property of sums, the same behavior will be presented if $b = 0$ and a a non negative real number.

According to that, if $a + b = 0$ , then $a = 0$ and $b = 0$ .

7 0

3 years ago

Consider the number pattern -6, -11, -16, -21..... Which term of the pattern =-401?

steposvetlana [31]

Answer:

First get the formula for your pattern in the form of TN. Where d represents your difference and a represents your first term. Then equate the -401 to your formula and solve for n