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3 years ago

Which expression is equivalent to (5³) ‐²? (4 points)

Mathematics

1 answer:

miss Akunina [59]3 years ago

3 0

Answer:

1. 2³ × 2² = (2 × 2 × 2) × (2 × 2) = 23+2 = 2⁵

2. 3⁴ × 3² = (3 × 3 × 3 × 3) × (3 × 3) = 34+2 = 3⁶

3. (-3)³ × (-3)⁴ = [(-3) × (-3) × (-3)] × [(-3) × (-3) × (-3) × (-3)]

= (-3)3+4

= (-3)⁷

4. m⁵ × m³ = (m × m × m × m × m) × (m × m × m)

= m5+3

= m⁸

Step-by-step explanation:

exponential law

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Answer:

The values for the given function f is defined by $f(x)=\frac{1}{2}x$ is

a) $f(0)=0$ ,

b) $f(18)=9$ and

c) $f(-18)=-9$

Step-by-step explanation:

Given that the function f is defined by $f(x)=\frac{1}{2}x$

Now to find the value of f(0), f(18) and f(-18)

Now take f(0)

Put x=0 in the given function $f(x)=\frac{1}{2}x$ we get

$f(0)=\frac{1}{2}(0)$

$=0$

Therefore $f(0)=0$

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$f(18)=\frac{1}{2}(18)$

$=9$

Therefore $f(18)=9$

Put x=-18 in the given function $f(x)=\frac{1}{2}x$ we get

$f(-18)=\frac{1}{2}(-18)$

$=-9$

Therefore $f(-18)=-9$

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a) $f(0)=0$ ,

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c) $f(-18)=-9$

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