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3 years ago

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How do you multiply powers that have the same base

1 answer:

Alecsey [184]3 years ago

4 0

Answer:

The exponent "product rule" tells us that, when multiplying two powers that have the same base you can add the exponents in this example you can see how it works. Adding the exponents Is just a short cut! the "power rule" tells us that raise power to a power, just multiply the exponents

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I need help with math, I have no idea what I'm doing

Masteriza [31]

A. (x+3)(4x+5)
(multiply x with 4x+5 then multiply 3 with 4x+5)
=4x^2+5x+12x+15
=4x^2+17x+15
b,c, and d are similar

5 0

3 years ago

30 POINTS I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade

mars1129 [50]

Answer:

$1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},$

Step-by-step explanation:

$1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}$

$2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}$

3. This problem incorporates an exponent property.

Exponent property used: $a^b\cdot a^c=a^{(b+c)}$ , yielding an answer of $\boxed{5}$

$4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}$

3 0

3 years ago

Read 2 more answers

Which number is a solution of the inequality?

padilas [110]

we know that

A number is an inequality solution if the number satisfies the inequality

<u>Part 1)</u> $10.6 < b$

rewrite the inequality

$b > 10.6$

The answer Part 1) is the option D $14$

Because $14$ satisfies the inequality

$14 > 10.6$ -----> is true

<u>Part 2)</u> $m > 7/12$

The answer Part 2) is the option A $1$

Because $1$ satisfies the inequality

$1 > 7/12$ -----> is true

<u>Part 3)</u> $8< x(7-x)$

we're going to verify every case

<u>case A)</u> For $x=2$

substitute the value of x in the inequality

$8< 2(7-2)$

$8< 10$ ------> is true

therefore

The number $2$ is a solution

<u>case B)</u> For $x=8$

substitute the value of x in the inequality

$8< 8(7-8)$

$8< -8$ ------> is not true

therefore

The number $8$ is not a solution

<u>case C)</u> For $x=-1$

substitute the value of x in the inequality

$8< -1(7-(-1))$

$8< -8$ ------> is not true

therefore

The number $-1$ is not a solution

<u>case D)</u> For $x=0$

substitute the value of x in the inequality

$8< 0(7-0)$

$8< 0$ ------> is not true

therefore

The number $0$ is not a solution

therefore

The answer Part 3) is the option A $2$

6 0

3 years ago

Read 2 more answers

A charm bracelet costs $65, plus $25 for each charm. The equation -25x+y=65 represents the cost y (in dollars) of the bracelet,

nika2105 [10]

Bsbshshhsjsjajsjsjan
b 140

3 0

2 years ago

-a^2+7b^4-2c^3 if a= -4 b= -2 and c=-3

coldgirl [10]

Step-by-step explanation:

-(-4)²+7(-2)⁴-2(-3)³

=16+7(16)-2(-27)

=15+112+54

=181

8 0

3 years ago