How do you simplify 16^2/24^7

1 answer:

5 0

Answer:

1/(2¹³·3⁷)

Step-by-step explanation:

16²/24⁷

Factor the terms = (2⁴)²/(8×3)⁷

Apply the Power Rule = 2⁸/(2³×3)⁷

Apply the Power Rule = 2⁸/(2²¹ × 3⁷)

Apply the Quotient Rule = 1/(2¹³·3⁷)

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Ugo [173]

A= 9 so the answer would be “B”

5 0

2 years ago

umka21 [38]

Answer:

$5xyz$

Step-by-step explanation:

$\frac{15x^2y^3z}{3xy^2}$

Step 1: Divide the numbers

$\frac{15}{3}=5\\\\=\frac{5x^2y^3z}{xy^2}$

Step 2: Simplify

$\frac{x^2}{x}\\\\= x\\\\=\frac{5xy^3z}{y^2}$

Step 3: Simplify

$\frac{y^3}{y^2} = y\\\\=5xyz$

Therefore, the simplified answer is $=5xyz$

7 0

2 years ago

nadezda [96]

Answer:

$\frac{5}{2}$

Step-by-step explanation:

First, add two to both sides to get $9^{x-1}=27$

There are two ways to solve this from here

Think about what power you would have to raise 9 to to get to 27. $9^{\frac{1}{2}}$ = 3 and $3^3=27$ . So, multiplying the powers (because it is a power to a power) you get $9^{\frac{3}{2}}=27$ . This means that $x - 1 = \frac{3}{2}$ or x = $\frac{5}{2}$ .
Take the log of both sides.