3 years ago

Work out the value(3^2)^2 x (10^3)^2

Mathematics

2 answers:

Vlada [557]3 years ago

7 0

Answer:

1000081

Step-by-step explanation:

=3^6+10^6

=81+1,000,000

vredina [299]3 years ago

3 0

Answer:

81,000,000

Step-by-step explanation:

(3²)² × (10³)²

(9)² × (1000)²

81 × 1000000

81,000,000

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Can someone please help me with this again? 5-7<br><br>Thank you so much!

SIZIF [17.4K]

Hi there!

Use the property:

$\frac{x^a}{x^b} = x^{a - b}$
Now, solve by variable.

$\frac{x^2}{x} = x^{2 - 1} = x\\\\\frac{y^5}{y^4} = y^{5 - 4} = y$

Rewrite:
$= x * y * z^3 = \boxed{\text{ D. } xyz^3}}$

Solve the inside of the parenthesis, and each term separately.

Use the property:
$x^0 = 1$

$(7 + 3^2)^0 = 1 \\\\(8^0 + 3)^2 = (1 + 3)^2 = 4^2 = 16\\\\1 + 16 = \boxed{ \text{ C. } 17}$

Solve like above:
$(4 + 2^2)^0 = 1\\\\(7^0 + 4)^{-3} = (1 + 4)^{-3} = 5^{-3}$

The negative exponent indicates taking the reciprocal. Using the property:
$x^{-a} = \frac{1}{x^a}$

Therefore:
$5^{-3} = \frac{1}{5^3} = \boxed{ \text{ D. }\frac{1}{125}}$

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