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Popular >

(1/16)^x-(1/4)^x>= 0

Solution

(\frac{1}{16})^{x} - (\frac{1}{4})^{x} \geq 0

Solution

x \leq 0

+1

Interval Notation

(- \infty, 0]

Solution steps

(\frac{1}{16})^{x} - (\frac{1}{4})^{x} \geq 0

Add

(\frac{1}{4})^{x}

to both sides

(\frac{1}{16})^{x} - (\frac{1}{4})^{x} + (\frac{1}{4})^{x} \geq 0 + (\frac{1}{4})^{x}

Simplify

(\frac{1}{16})^{x} \geq (\frac{1}{4})^{x}

Apply exponent rules

2 x \leq x

Move

x

to the left side

x \leq 0

Popular Examples

simplify (2/9)^0 simplify

(\frac{2}{9})^{0}

- 2 (2 x - 5) = 2 x

w^{2} = 9 (w - 5)

10v-(5v+1)<= 2v+7+4v

10 v - (5 v + 1) \leq 2 v + 7 + 4 v

simplify 7/20-1/40 simplify

\frac{7}{20} - \frac{1}{40}

Frequently Asked Questions (FAQ)

What is (1/16)^x-(1/4)^x>= 0 ?
The solution to (1/16)^x-(1/4)^x>= 0 is x<= 0