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3 years ago

Simplify. Rewrite the expression in the form a^n. A • A^7

Mathematics

1 answer:

Norma-Jean [14]3 years ago

8 0

<h2>Product of Powers Rule</h2><h3>Answer:</h3>

$A^8$

<h3 />

Step-by-step explanation:

Recall the Exponent Law:

$a^m \cdot a^n = a^{m +n}$

This means that if you multiply numbers with exponents and they have the same bases such as, $a$ , the result is the number raised to the sum of exponents.

Solution:

Note: All numbers implicitly have $1$ as their exponent. For example, $8$ is equivalent to $8^1$ .

$A \cdot A^7 \\ A^{1 +7} \\ A^8$

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Find three consecutive numbers whose sum is 1020

krok68 [10]

what's up? the answer to this is 339+340+341

best of luck with your studies

6 0

2 years ago

Read 2 more answers

One-third of a storeâs inventory is childrenâs clothing. Two-fifths of its inventory is womenâs clothing. What fraction of the t

Eva8 [605]

Answer: C. 11/15

Step-by-step explanation:

Given : The fraction of stores inventory is children's clothing= $\dfrac{1}{3}$

The fraction of stores inventory is women's clothing= $\dfrac{2}{5}$

Since both events are independent.

Therefore, the fraction of the total inventory is children's or women's clothing = (Fraction of stores inventory is children's clothing ) + (Fraction of stores inventory is women's clothing )

$=\dfrac{1}{3}+\dfrac{2}{5}=\dfrac{5+2(3)}{15}$

$=\dfrac{11}{15}$

∴ The fraction of the total inventory is children's or women's clothing $=\dfrac{11}{15}$

Hence, the correct answer is C. 11/15 .

6 0

3 years ago

Help me answer these questions please 15, 19 and 20 please

SpyIntel [72]

Answer:

15) K'(t) = 5[5^(t)•In 5] - 2[3^(t)•In 3]

19) P'(w) = 2e^(w) - (1/5)[2^(w)•In 2]

20) Q'(w) = -6w^(-3) - (2/5)w^(-7/5) - ¼w^(-¾)

Step-by-step explanation:

We are to find the derivative of the questions pointed out.

15) K(t) = 5(5^(t)) - 2(3^(t))

Using implicit differentiation, we have;

K'(t) = 5[5^(t)•In 5] - 2[3^(t)•In 3]

19) P(w) = 2e^(w) - (2^(w))/5

P'(w) = 2e^(w) - (1/5)[2^(w)•In 2]

20) Q(W) = 3w^(-2) + w^(-2/5) - w^(¼)

Q'(w) = -6w^(-2 - 1) + (-2/5)w^(-2/5 - 1) - ¼w^(¼ - 1)

Q'(w) = -6w^(-3) - (2/5)w^(-7/5) - ¼w^(-¾)

7 0

3 years ago

A standard deck of cards contains 52 cards. The cards have 4 different suits: clubs, diamonds, hearts, and spades. For each suit

Taya2010 [7]

Answer:

a. 108336, b. 480200

Step-by-step explanation:

a. No. of ace cards = 4

No. of non ace cards= 48

We draw 5 cards

So,

No. of ways of 2 aces = C(4,2) C(48,3)

No. of ways of 3 aces = C(4,3) C(48,2)

No. of ways of 4 aces = C(4,4) C(48,1)

Hence

No. of ways of 2 or more aces

= C(4,2) + C(48,3) + C(48,3) + C(4,3)C(48,2) +C(4,4)C(48,1)

= 6(17296) + 4(1128) + (48)

= 108336

b. No of ways any 5 cards can be chosen = C(52,5)

No. of ways kings of diamonds or queen of hearts is chosen = C(50,5)

Hence

No. of ways of choosing king of diamonds, queen of hearts or both = C(52,5) – C(50,5)

= 480200

4 0

2 years ago

5/8 + 3/4 divided by -2/3 - 5/6

exis [7]

-1.5 should be your answer.
if wrong I apologize.

5 0

3 years ago